Optimal conversion of nonlocal unitary operations -: art. no. 057901

被引：56

作者：

Dür, W

Vidal, G

Cirac, JI

机构：

[1] Univ Munich, Sekt Phys, D-80333 Munich, Germany

[2] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria

[3] Max Planck Inst Quantum Opt, D-85748 Garching, Germany

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 89卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.89.057901

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study when a nonlocal unitary operation acting on two d-level systems can probabilistically simulate another one when arbitrary local operations and classical communication are allowed. We provide necessary and sufficient conditions for the simulation to be possible. Probabilistic interconvertability is used to define an equivalence relation between gates. We show that this relation induces a finite number of classes that we identify. In the case of two qubits, two classes of nonlocal operations exist. We show how the representatives of these classes, CNOT and SWAP, can be deterministically converted into any operation of its class and calculate the optimal probability of the reverse process.

引用

页码：057901/1 / 057901/4

页数：4

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