On the Eternal Non-Markovianity of Non-Unital Quantum Channels

IF 0.7 4区 物理与天体物理 Q3 COMPUTER SCIENCE, THEORY & METHODS International Journal of Quantum Information Pub Date : 2023-11-08 DOI:10.1142/s0219749923500399
Shrikant Utagi, Subhashish Banerjee, R. Srikanth
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引用次数: 2

Abstract

The eternally non-Markovian (ENM) Pauli channel is an example of a unital channel characterized by a negative decay rate for all time [Formula: see text]. Here, we consider the problem of constructing an analogous non-unital channel, and show in particular that a [Formula: see text]-dimensional generalized amplitude damping (GAD) channel cannot be ENM when the non-Markovianity originates solely from the non-unital part of the channel. We study specific ramifications of this result for qubit GAD. Specifically, we construct a quasi-ENM qubit GAD channel, characterized by a time [Formula: see text], such that the channel is non-Markovian (NM) only and for all time [Formula: see text]. We further point out that our negative result for the qudit GAD channel, namely, the impossibility of the eternal NM property, does not hold for a general qubit or higher-dimensional non-unital channel.
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非单量子信道的永恒非马尔可夫性
永久非马尔可夫泡利信道是一个以负衰减率为特征的单一信道的例子[公式:见文本]。在这里,我们考虑构造一个类似的非单位信道的问题,并特别表明,当非马尔可夫性仅来自信道的非单位部分时,一个[公式:见文本]维广义振幅阻尼(GAD)信道不能是ENM。我们研究了这一结果对量子比特GAD的具体影响。具体来说,我们构建了一个准enm量子比特GAD通道,其特征为一个时间[公式:见文本],使得该通道仅为非马尔可夫(NM)并且一直存在[公式:见文本]。我们进一步指出,我们对于qudit GAD信道的否定结果,即永恒NM性质的不可能性,并不适用于一般量子位或高维非一元信道。
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来源期刊
International Journal of Quantum Information
International Journal of Quantum Information 物理-计算机:理论方法
CiteScore
2.20
自引率
8.30%
发文量
36
审稿时长
10 months
期刊介绍: The International Journal of Quantum Information (IJQI) provides a forum for the interdisciplinary field of Quantum Information Science. In particular, we welcome contributions in these areas of experimental and theoretical research: Quantum Cryptography Quantum Computation Quantum Communication Fundamentals of Quantum Mechanics Authors are welcome to submit quality research and review papers as well as short correspondences in both theoretical and experimental areas. Submitted articles will be refereed prior to acceptance for publication in the Journal.
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