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Distance measures to compare real and ideal quantum processes
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Distance measures to compare real and ideal quantum processes
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With growing success in experimental implementations it is critical to identify a "gold standard" for quantum information processing, a single measure of distance that can be used to compare and contrast different experiments. We enumerate a set of criteria such a distance measure must satisfy to be both experimentally and theoretically meaningful. We then assess a wide range of possible measures against these criteria, before making a recommendation as to the best measures to use in characterizing quantum information processing.
Forward citations
Cited by 2 Pith papers
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On estimating operator norm distance, with optimal trace distance estimation when one state is pure
Rank-independent quantum estimators achieve Θ(1/ε) queries for operator-norm (and trace) distance when one state is pure, and Õ(1/ε^{3/2}) queries for general states, proving BQP-completeness.
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Multi-Qubit Dyadic Phase Fixing for Fault-Tolerant Quantum Compilation
Dyadic Phase Fixing reduces T-count by up to 70% versus gridsynth in quantum circuit compilation for fault-tolerant computing via numerical synthesis and automatic phase register sizing.
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