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arXiv quant-ph/0306135quant-ph
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在相空间中描绘量子比特

Picturing Qubits in Phase Space

William K. Wootters

摘要:

我特别关注一量子比特和两量子比特系统,解释如何将n量子比特系统的量子态表示为离散2^n x 2^n相空间上的实函数--广义维格纳函数。相空间是基于具有2^n个元素的有限域,其几何结构自然导致构造一个2^n+1个相互共轭基的完备集。

英文摘要:

Focusing particularly on one-qubit and two-qubit systems, I explain how the quantum state of a system of n qubits can be expressed as a real function--a generalized Wigner function--on a discrete 2^n x 2^n phase space. The phase space is based on the finite field having 2^n elements, and its geometric structure leads naturally to the construction of a complete set of 2^n+1 mutually conjugate bases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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