Ancilla models for quantum operations: for what unitaries does the ancilla state have to be physical?

被引：5

作者：

Jiang, Zhang ^{[1
]}

Piani, Marco ^{[2
,3
]}

Caves, Carlton M. ^{[1
,4
]}

机构：

[1] Univ New Mexico, Ctr Quantum Informat & Control, Albuquerque, NM 87131 USA

[2] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada

[3] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada

[4] Univ Queensland, Sch Math & Phys, Ctr Engn Quantum Syst, Brisbane, Qld 4072, Australia

来源：

QUANTUM INFORMATION PROCESSING | 2013年 / 12卷 / 05期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

Ancilla model; Stinespring extension; Completely positive; Quantum operation; Quantum tomography;

D O I：

10.1007/s11128-012-0500-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Any evolution described by a completely positive trace-preserving linear map can be imagined as arising from the interaction of the evolving system with an initially uncorrelated ancilla. The interaction is given by a joint unitary operator, acting on the system and the ancilla. Here we study the properties such a unitary operator must have in order to force the choice of a physical-that is, positive-state for the ancilla if the end result is to be a physical-that is, completely positive-evolution of the system.

引用

页码：1999 / 2017

页数：19

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