Picturing qubits in phase space

Picturing qubits in phase space
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描绘相空间中的量子位

DOI:
10.1147/rd.481.0099
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发表时间:
2003
期刊:
IBM J. Res. Dev.
影响因子:
--
通讯作者:
W. Wootters
W. Wootters
中科院分区:
--
文献类型:
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作者:
W. Wootters

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特别关注一个量子比特和两个量子比特系统,我解释了如何可以表示为一个真实的函数-广义维格纳函数-在一个离散的2n?2n相空间。相空间基于具有2n个元素的有限域,其几何结构自然导致构造2n + 1个相互共轭基的完备集。
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 2n ?? 2n phase space. The phase space is based on the finite field having 2n elements, and its geometric structure leads naturally to the construction of a complete set of 2n + 1 mutually conjugate bases.