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• W2029147467 abstract "Quantum state tomography is the task of inferring the state of a quantum system by appropriate measurements. Since the frequency distributions of the outcomes of any finite number of measurements will generally deviate from their asymptotic limits, the estimates computed by standard methods do not in general coincide with the true state, and therefore have no operational significance unless their accuracy is defined in terms of error bounds. Here we show that quantum state tomography, together with an appropriate data analysis procedure, yields reliable and tight error bounds, specified in terms of confidence regions - a concept originating from classical statistics. Confidence regions are subsets of the state space in which the true state lies with high probability, independently of any prior assumption on the distribution of the possible states. Our method for computing confidence regions can be applied to arbitrary measurements including fully coherent ones; it is practical and particularly well suited for tomography on systems consisting of a small number of qubits, which are currently in the focus of interest in experimental quantum information science." @default.
• W2029147467 created "2016-06-24" @default.
• W2029147467 creator A5006329724 @default.
• W2029147467 creator A5020346319 @default.
• W2029147467 date "2012-09-19" @default.
• W2029147467 modified "2023-09-29" @default.
• W2029147467 title "Reliable Quantum State Tomography" @default.
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• W2029147467 doi "https://doi.org/10.1103/physrevlett.109.120403" @default.
• W2029147467 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23005927" @default.
• W2029147467 hasPublicationYear "2012" @default.
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