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Random Quantum Circuits and Pseudo-Random Operators: Theory and Applications | | Joseph Emerson
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12 Oct 2004 | | Journal: | Emerson et al., Science 302: 2098 (Dec 19, 2003) | | Subject: | quant-ph | | Abstract: | Pseudo-random operators consist of sets of operators that exhibit many of the important statistical features of uniformly distributed random operators. Such pseudo-random sets of operators are most useful whey they may be parameterized and generated on a quantum processor in a way that requires exponentially fewer resources than direct implementation of the uniformly random set. Efficient pseudo-random operators can overcome the exponential cost of random operators required for quantum communication tasks such as super-dense coding of quantum states and approximately secure quantum data-hiding, and enable efficient stochastic methods for noise estimation on prototype quantum processors. This paper summarizes some recently published work demonstrating a random circuit method for the implementation of pseudo-random unitary operators on a quantum processor [Emerson et al., Science 302:2098 (Dec.~19, 2003)], and further elaborates the theory and applications of pseudo-random states and operators. | | Source: | arXiv, quant-ph/0410087 | | Services: | Forum | Review | PDF | Favorites | |
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