Pub Date : 2024-08-05DOI: 10.1103/physreva.110.023505
Fu-Pei Wu, Hai-Feng Zhang
In this paper, the propagation characteristics of fundamental and third harmonic waves within the designed hyperstructure are examined using the transfer matrix method. At the same time, the efficiency of third harmonic generation is quantified. The transfer matrix method provides a framework that takes into account the interference phenomena and multiple reflections occurring within each layer, thereby facilitating a precise emulation of the generation and propagation dynamics of the harmonic wave field within the hyperstructure. Moreover, the conspicuous phenomenon of strong field localization, coupled with the lower group delay observed at the edges of the photonic band gap, confers an augmented response time on the process of third harmonic conversion. Consequently, electromagnetic waves situated in close proximity to the band-gap edge experience a heightened conversion efficiency. Comparatively, when juxtaposed against those designed in the other works hinged on conventional quasiphase matching techniques and endowed with similar lengths, the distinctive advantages offered by layered periodic structures manifest in their propensity to establish more precise phase matching conditions and yield higher conversion efficiencies. The crucial role played by third harmonic generation in advancing optical imaging, spectroscopy, biomedical applications, and laser technology is due to its distinct optical characteristics and energy conversion capabilities.
{"title":"Unveiling the intricacies of nonlinear third-harmonic generation within a hyperstructure","authors":"Fu-Pei Wu, Hai-Feng Zhang","doi":"10.1103/physreva.110.023505","DOIUrl":"https://doi.org/10.1103/physreva.110.023505","url":null,"abstract":"In this paper, the propagation characteristics of fundamental and third harmonic waves within the designed hyperstructure are examined using the transfer matrix method. At the same time, the efficiency of third harmonic generation is quantified. The transfer matrix method provides a framework that takes into account the interference phenomena and multiple reflections occurring within each layer, thereby facilitating a precise emulation of the generation and propagation dynamics of the harmonic wave field within the hyperstructure. Moreover, the conspicuous phenomenon of strong field localization, coupled with the lower group delay observed at the edges of the photonic band gap, confers an augmented response time on the process of third harmonic conversion. Consequently, electromagnetic waves situated in close proximity to the band-gap edge experience a heightened conversion efficiency. Comparatively, when juxtaposed against those designed in the other works hinged on conventional quasiphase matching techniques and endowed with similar lengths, the distinctive advantages offered by layered periodic structures manifest in their propensity to establish more precise phase matching conditions and yield higher conversion efficiencies. The crucial role played by third harmonic generation in advancing optical imaging, spectroscopy, biomedical applications, and laser technology is due to its distinct optical characteristics and energy conversion capabilities.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Plasmonic chirality garners considerable attention owing to its distinctive optical characteristics and wide-ranging applications. Understanding the optical activity of single particles holds paramount significance for both theoretical frameworks and experimental measurements of chirality. When probing the optical response of chiral particles, high numerical aperture (NA) objectives, adept at concentrating light into exceedingly small regions, are frequently employed. With escalating NA, the incident light no longer satisfies the paraxial approximation, engendering electric field components perpendicular to the focal plane. However, this electric field component is usually neglected in research. Here, we utilize angular spectrum theory to explore the optical response and circular dichroism of single chiral nanoparticles subjected to tightly focused circularly polarized light. Remarkably, we find that the electric field component perpendicular to the focal plane exhibits a pronounced influence on chirality, potentially inducing a reversed circular dichroism response when the particle deviates from the optical axis. Simultaneously, variations in the position of particles within the light field yield significant discrepancies in higher-order modes, particularly electric quadrupole moments. Our findings hold profound implications for the measurement and analysis of chiral particles, offering invaluable guidance for the future investigations of chirality.
质子手性因其独特的光学特性和广泛的应用而备受关注。了解单个粒子的光学活动对于手性的理论框架和实验测量都具有重要意义。在探测手性粒子的光学响应时，经常会用到高数值孔径（NA）物镜，它善于将光线集中到极小的区域。随着 NA 值的增加，入射光不再满足准轴向近似，从而产生垂直于焦平面的电场分量。然而，这种电场分量通常在研究中被忽略。在此，我们利用角光谱理论来探讨单个手性纳米粒子在紧聚焦圆偏振光下的光学响应和圆二色性。值得注意的是，我们发现垂直于焦平面的电场分量对手性有明显的影响，当粒子偏离光轴时，可能会引起反向的圆二色性响应。同时，粒子在光场内的位置变化会导致高阶模式，尤其是电四极矩出现显著差异。我们的发现对手性粒子的测量和分析具有深远的影响，为未来的手性研究提供了宝贵的指导。
{"title":"Position-dependent plasmonic chirality of particles in tightly focused light field","authors":"Guodong Zhu, Zhiguang Sun, Shuo Zhang, Haoran Liu, Yongqi Chen, Nan Gao, Wei Peng, Yurui Fang","doi":"10.1103/physreva.110.023506","DOIUrl":"https://doi.org/10.1103/physreva.110.023506","url":null,"abstract":"Plasmonic chirality garners considerable attention owing to its distinctive optical characteristics and wide-ranging applications. Understanding the optical activity of single particles holds paramount significance for both theoretical frameworks and experimental measurements of chirality. When probing the optical response of chiral particles, high numerical aperture (NA) objectives, adept at concentrating light into exceedingly small regions, are frequently employed. With escalating NA, the incident light no longer satisfies the paraxial approximation, engendering electric field components perpendicular to the focal plane. However, this electric field component is usually neglected in research. Here, we utilize angular spectrum theory to explore the optical response and circular dichroism of single chiral nanoparticles subjected to tightly focused circularly polarized light. Remarkably, we find that the electric field component perpendicular to the focal plane exhibits a pronounced influence on chirality, potentially inducing a reversed circular dichroism response when the particle deviates from the optical axis. Simultaneously, variations in the position of particles within the light field yield significant discrepancies in higher-order modes, particularly electric quadrupole moments. Our findings hold profound implications for the measurement and analysis of chiral particles, offering invaluable guidance for the future investigations of chirality.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-02DOI: 10.1103/physreva.110.023504
Tetsuyuki Ochiai
We present a detailed theoretical analysis of a peculiar generation of multiple bound states in the continuum (BICs) in two-dimensional periodic arrays of dielectric spheres. They emerge in high-symmetry lattices with the and point groups and involve doubly degenerate quasiguided modes at the point that can couple to external radiation. By tuning a system parameter, the doubly degenerate modes can exhibit accidental BICs at a critical parameter. In the vicinity of the critical parameter, the two bands originating from the degenerate mode exhibit multiple off- BICs. They move and annihilate across the two bands by changing the parameter around the critical one. A ring-like high- channel pinned with multiple BICs emerges particularly for the case. Across the critical coupling, the total vorticity of the multiple BICs is conserved. The perturbation theory explains some features of the phenomena reasonably well.
{"title":"Generation of multiple bound states in the continuum through doubly degenerate quasiguided modes","authors":"Tetsuyuki Ochiai","doi":"10.1103/physreva.110.023504","DOIUrl":"https://doi.org/10.1103/physreva.110.023504","url":null,"abstract":"We present a detailed theoretical analysis of a peculiar generation of multiple bound states in the continuum (BICs) in two-dimensional periodic arrays of dielectric spheres. They emerge in high-symmetry lattices with the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>C</mi><mrow><mn>6</mn><mi>v</mi></mrow></msub></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>C</mi><mrow><mn>4</mn><mi>v</mi></mrow></msub></math> point groups and involve doubly degenerate quasiguided modes at the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">Γ</mi></math> point that can couple to external radiation. By tuning a system parameter, the doubly degenerate modes can exhibit accidental BICs at a critical parameter. In the vicinity of the critical parameter, the two bands originating from the degenerate mode exhibit multiple off-<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">Γ</mi></math> BICs. They move and annihilate across the two bands by changing the parameter around the critical one. A ring-like high-<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>Q</mi></math> channel pinned with multiple BICs emerges particularly for the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>C</mi><mrow><mn>6</mn><mi>v</mi></mrow></msub></math> case. Across the critical coupling, the total vorticity of the multiple BICs is conserved. The <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi mathvariant=\"bold-italic\">k</mi><mo>·</mo><mi mathvariant=\"bold-italic\">p</mi></mrow></math> perturbation theory explains some features of the phenomena reasonably well.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-02DOI: 10.1103/physreva.110.022203
N. Il'in, A. Aristova, O. Lychkovskiy
We prove fundamental rigorous bounds on the speed of quantum evolution for a quantum system coupled to a thermal bath. The bounds are formulated in terms of expectation values of few-body observables derived from the system-bath Hamiltonian. They do not rely on the Markov approximation and, as a consequence, are applicable beyond the limit of weak system-bath coupling.
{"title":"Quantum speed limits for an open system in contact with a thermal bath","authors":"N. Il'in, A. Aristova, O. Lychkovskiy","doi":"10.1103/physreva.110.022203","DOIUrl":"https://doi.org/10.1103/physreva.110.022203","url":null,"abstract":"We prove fundamental rigorous bounds on the speed of quantum evolution for a quantum system coupled to a thermal bath. The bounds are formulated in terms of expectation values of few-body observables derived from the system-bath Hamiltonian. They do not rely on the Markov approximation and, as a consequence, are applicable beyond the limit of weak system-bath coupling.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141883101","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-02DOI: 10.1103/physreva.110.023302
Ivor Krešić
Photon-mediated interaction can be used for simulating complex many-body phenomena with ultracold atoms coupled to electromagnetic modes of an optical resonator. We study theoretically a method of producing controllable interatomic interaction mediated by forward-diffracted photons circulating inside a ring cavity. One example of such a system is the three-mode cavity, where an on-axis mode can coexist with two diffracted sidebands. We demonstrate how the self-organized stripe states of a Bose-Einstein condensate (BEC) occurring in this cavity geometry can exhibit supersolid properties, due to spontaneous breaking of the Hamiltonian's continuous translational symmetry. A numerical study of the collective excitation spectrum of these states demonstrates the existence of massless and finite-gap excitations, which are identified as phase (Goldstone) and amplitude (Higgs) atomic density modes. We further demonstrate how judicious Fourier filtering of intracavity light can be used to engineer the effective atom-atom interaction profile for many cavity modes. The numerical results in this configuration show the existence of droplet-array and single-droplet BEC states for commensurate and incommensurate cavity modes, respectively. Diffractive coupling in a cavity is thereby introduced as an alternative route towards tailoring the photon-mediated interaction of ultracold atoms. Spatial features of the self-organized optical potentials can here be tuned to scales several times larger than the pump laser wavelength such that the corresponding atomic density distributions could be imaged and manipulated using low-numerical-aperture optics. These calculations and insights pave the way towards quantum simulation of exotic nonequilibrium many-body physics with condensates in a cavity.
{"title":"Controllable interatomic interaction mediated by diffractive coupling in a cavity","authors":"Ivor Krešić","doi":"10.1103/physreva.110.023302","DOIUrl":"https://doi.org/10.1103/physreva.110.023302","url":null,"abstract":"Photon-mediated interaction can be used for simulating complex many-body phenomena with ultracold atoms coupled to electromagnetic modes of an optical resonator. We study theoretically a method of producing controllable interatomic interaction mediated by forward-diffracted photons circulating inside a ring cavity. One example of such a system is the three-mode cavity, where an on-axis mode can coexist with two diffracted sidebands. We demonstrate how the self-organized stripe states of a Bose-Einstein condensate (BEC) occurring in this cavity geometry can exhibit supersolid properties, due to spontaneous breaking of the Hamiltonian's continuous translational symmetry. A numerical study of the collective excitation spectrum of these states demonstrates the existence of massless and finite-gap excitations, which are identified as phase (Goldstone) and amplitude (Higgs) atomic density modes. We further demonstrate how judicious Fourier filtering of intracavity light can be used to engineer the effective atom-atom interaction profile for many cavity modes. The numerical results in this configuration show the existence of droplet-array and single-droplet BEC states for commensurate and incommensurate cavity modes, respectively. Diffractive coupling in a cavity is thereby introduced as an alternative route towards tailoring the photon-mediated interaction of ultracold atoms. Spatial features of the self-organized optical potentials can here be tuned to scales several times larger than the pump laser wavelength such that the corresponding atomic density distributions could be imaged and manipulated using low-numerical-aperture optics. These calculations and insights pave the way towards quantum simulation of exotic nonequilibrium many-body physics with condensates in a cavity.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-02DOI: 10.1103/physreva.110.022204
N. V. Filina, S. S. Baturin
We present a theoretical description of charged particles with nonzero projection of the orbital angular momentum (OAM) in a uniform magnetic field with broken axial symmetry. The wave functions we find naturally account for the asymmetry of the magnetic field at the entrance of the solenoid through the continuous parameter and are a generalization of the Laguerre-Gauss states commonly used to describe twisted charged particles. We analyze the asymmetric Hamiltonian from an algebraic point of view and show how the OAM projection of the twisted state is modified by symmetry breaking. We provide analytical frameworks for properties of the asymmetric states, such as energy, rms size, and Casimir invariant, and discuss advantages of the proposed description.
{"title":"Twisted charged particles in the uniform magnetic field with broken symmetry","authors":"N. V. Filina, S. S. Baturin","doi":"10.1103/physreva.110.022204","DOIUrl":"https://doi.org/10.1103/physreva.110.022204","url":null,"abstract":"We present a theoretical description of charged particles with nonzero projection of the orbital angular momentum (OAM) in a uniform magnetic field with broken axial symmetry. The wave functions we find naturally account for the asymmetry of the magnetic field at the entrance of the solenoid through the continuous parameter and are a generalization of the Laguerre-Gauss states commonly used to describe twisted charged particles. We analyze the asymmetric Hamiltonian from an algebraic point of view and show how the OAM projection of the twisted state is modified by symmetry breaking. We provide analytical frameworks for properties of the asymmetric states, such as energy, rms size, and Casimir invariant, and discuss advantages of the proposed description.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141883102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-02DOI: 10.1103/physreva.110.023705
Ofri Adiv, Scott Parkins
The Dicke model is a staple of theoretical cavity quantum electrodynamics (cavity QED), describing the interaction between an ensemble of atoms and a single radiation mode of an optical cavity. It is studied both quantum mechanically and semiclassically for two-level atoms, and demonstrates a rich variety of dynamics such as phase transitions, phase multistability, and chaos. In this work we explore an open, spin-1 Dicke model with independent co and counterrotating coupling terms as well as a quadratic Zeeman shift enabling control over the atomic energy-level structure. We investigate the stability of operator and moment equations under two approximations and show the system undergoes phase transitions. To compliment these results, we relax the aforementioned approximations and investigate the system semiclassically. We show evidence of phase transitions to steady-state and oscillatory superradiance in this semiclassical model, as well as the emergence of chaotic dynamics. The varied and complex behaviors admitted by the model highlights the need to more rigorously map its dynamics.
{"title":"Dynamics of a generalized Dicke model for spin-1 atoms","authors":"Ofri Adiv, Scott Parkins","doi":"10.1103/physreva.110.023705","DOIUrl":"https://doi.org/10.1103/physreva.110.023705","url":null,"abstract":"The Dicke model is a staple of theoretical cavity quantum electrodynamics (cavity QED), describing the interaction between an ensemble of atoms and a single radiation mode of an optical cavity. It is studied both quantum mechanically and semiclassically for two-level atoms, and demonstrates a rich variety of dynamics such as phase transitions, phase multistability, and chaos. In this work we explore an open, spin-1 Dicke model with independent co and counterrotating coupling terms as well as a quadratic Zeeman shift enabling control over the atomic energy-level structure. We investigate the stability of operator and moment equations under two approximations and show the system undergoes phase transitions. To compliment these results, we relax the aforementioned approximations and investigate the system semiclassically. We show evidence of phase transitions to steady-state and oscillatory superradiance in this semiclassical model, as well as the emergence of chaotic dynamics. The varied and complex behaviors admitted by the model highlights the need to more rigorously map its dynamics.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-02DOI: 10.1103/physreva.110.023102
M. A. H. B. Md Yusoff, J. M. Ngoko Djiokap, A. V. Meremianin, N. L. Manakov
Electron vortices emerging in the amplitude of the ionization of an atom by an isolated few-cycle, circularly polarized electromagnetic pulse are analyzed in the multiphoton regime. We demonstrate that the number of vortices, as well as their position and strength, are determined by the relative magnitudes of the dynamical amplitude parameters corresponding to sequential photon absorption. It is shown that the phase maps of the ionization amplitude in the momentum space exhibit spiral structures, which are signatures of the Coulomb scattering phases.
{"title":"Electron vortices in the amplitude of the atomic ionization by a few-cycle circularly polarized laser pulse","authors":"M. A. H. B. Md Yusoff, J. M. Ngoko Djiokap, A. V. Meremianin, N. L. Manakov","doi":"10.1103/physreva.110.023102","DOIUrl":"https://doi.org/10.1103/physreva.110.023102","url":null,"abstract":"Electron vortices emerging in the amplitude of the ionization of an atom by an isolated few-cycle, circularly polarized electromagnetic pulse are analyzed in the multiphoton regime. We demonstrate that the number of vortices, as well as their position and strength, are determined by the relative magnitudes of the dynamical amplitude parameters corresponding to sequential photon absorption. It is shown that the phase maps of the ionization amplitude in the momentum space exhibit spiral structures, which are signatures of the Coulomb scattering phases.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-02DOI: 10.1103/physreva.110.022602
Hjalmar Rall, Mark Tame
In quantum networks an important goal is to reduce resource requirements for the transport and communication of quantum information. Quantum network coding presents a way to do this by distributing entangled states over a network that would ordinarily exhibit contention. In this work, we study measurement-based quantum network coding (MQNC), which is a protocol particularly suitable for noisy intermediate-scale quantum devices. In particular, we develop techniques to adapt MQNC to state-of-the-art superconducting processors and subsequently demonstrate successful teleportation of quantum information, giving new insight into MQNC in this context after a previous study was not able to produce a useful degree of entanglement. The teleportation in our demonstration is shown to occur with fidelity higher than could be achieved via classical means, made possible by considering qubits from a polar cap of the Bloch sphere. We also present a generalization of MQNC with a simple mapping onto the heavy-hex processor layout and a direct mapping onto a proposed logical error-corrected layout. Our work provides some useful techniques to test and successfully carry out quantum network coding.
{"title":"Demonstration of teleportation across a quantum network code","authors":"Hjalmar Rall, Mark Tame","doi":"10.1103/physreva.110.022602","DOIUrl":"https://doi.org/10.1103/physreva.110.022602","url":null,"abstract":"In quantum networks an important goal is to reduce resource requirements for the transport and communication of quantum information. Quantum network coding presents a way to do this by distributing entangled states over a network that would ordinarily exhibit contention. In this work, we study measurement-based quantum network coding (MQNC), which is a protocol particularly suitable for noisy intermediate-scale quantum devices. In particular, we develop techniques to adapt MQNC to state-of-the-art superconducting processors and subsequently demonstrate successful teleportation of quantum information, giving new insight into MQNC in this context after a previous study was not able to produce a useful degree of entanglement. The teleportation in our demonstration is shown to occur with fidelity higher than could be achieved via classical means, made possible by considering qubits from a polar cap of the Bloch sphere. We also present a generalization of MQNC with a simple mapping onto the heavy-hex processor layout and a direct mapping onto a proposed logical error-corrected layout. Our work provides some useful techniques to test and successfully carry out quantum network coding.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141883105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-02DOI: 10.1103/physreva.110.022405
Victor F. dos Santos, Jonas Maziero
Recently, the entanglement dynamics of two harmonic oscillators initially prepared in a separable-coherent state was demonstrated to offer a pathway for prime number identification. This article presents a generalized approach and outlines a deterministic algorithm making possible the implementation of this theoretical concept on scalable fault-tolerant qubit-based quantum computers. We prove that the diagonal unitary operations employed in our algorithm exhibit a polynomial-time complexity of degree two, contrasting with the previously reported exponential complexity of general diagonal unitaries.
{"title":"Using quantum computers to identify prime numbers via entanglement dynamics","authors":"Victor F. dos Santos, Jonas Maziero","doi":"10.1103/physreva.110.022405","DOIUrl":"https://doi.org/10.1103/physreva.110.022405","url":null,"abstract":"Recently, the entanglement dynamics of two harmonic oscillators initially prepared in a separable-coherent state was demonstrated to offer a pathway for prime number identification. This article presents a generalized approach and outlines a deterministic algorithm making possible the implementation of this theoretical concept on scalable fault-tolerant qubit-based quantum computers. We prove that the diagonal unitary operations employed in our algorithm exhibit a polynomial-time complexity of degree two, contrasting with the previously reported exponential complexity of general diagonal unitaries.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141887077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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