论文标题

将Pauli运营商的藏品转变为Pauli运营商的等效收藏

Transforming Collections of Pauli Operators into Equivalent Collections of Pauli Operators over Minimal Registers

论文作者

Gunderman, Lane G.

论文摘要

在费米子模式和Qubit操作之间转换的转换已成为模拟系统量子算法中无处不在的工具。同样,可以从非本地游戏和令人满意的问题的解决方案中获得Pauli运营商的收集。利用纠缠辅助的量子错误校正的代码和量子卷积代码的想法,我们证明了代表此类Pauli操作所需的量子数量的可获得的较低限制,这些量子代表了同等的,并提供了确定此类最小寄存器Pauli操作的程序。

Transformations which convert between Fermionic modes and qubit operations have become a ubiquitous tool in quantum algorithms for simulating systems. Similarly, collections of Pauli operators might be obtained from solutions of non-local games and satisfiability problems. Drawing on ideas from entanglement-assisted quantum error-correcting codes and quantum convolutional codes, we prove the obtainable lower-bound for the number of qubits needed to represent such Pauli operations which are equivalent and provide a procedure for determining such a set of minimal register Pauli operations.

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