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Quantum certification and benchmarking
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Concomitant with the rapid development of quantum technologies, challenging demands arise concerning the certification and characterization of devices. The promises of the field can only be achieved if stringent levels of precision of components can be reached and their functioning guaranteed. This review provides a brief overview of the known characterization methods of certification, benchmarking, and tomographic recovery of quantum states and processes, as well as their applications in quantum computing, simulation, and communication.
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Cited by 5 Pith papers
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Closing gaps of a quantum advantage with short-time Hamiltonian dynamics
A constant-time, translation-invariant Hamiltonian quantum simulation architecture is proven to form an approximate unitary 2-design, implying anticoncentration, and its output probabilities are proven #P-hard to comp...
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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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Quantum Simulation of Random Unitaries from Clebsch-Gordan Transforms
Clebsch-Gordan transforms give exact compressed oracles for Haar-random unitary group actions, with efficient circuits for U(d).
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Efficient certification of intractable quantum states with few Pauli measurements
The paper claims Clifford-enhanced product states can be certified with O(n^2/epsilon^2) Pauli measurements in the i.i.d. setting and polynomially many in the adversarial setting, but the central estimator is derived ...
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Cross-Platform Verification of Intermediate Scale Quantum Devices
A randomized-measurement protocol estimates the overlap of two quantum states prepared on separate platforms, with a 10-qubit trapped-ion proof of principle.
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