Quantum 7, 1001 (2023). https://doi.org/10.22331/q-2023-05-12-1001 In his solution of Hilbert’s 17th problem Artin showed that any positive definite polynomial in several variables can be written as the quotient of two sums of squares. Later Reznick […]
Quantum 7, 1000 (2023). https://doi.org/10.22331/q-2023-05-12-1000 Perturbation theory is an important technique for reducing computational cost and providing physical insights in simulating quantum systems with classical computers. Here, we provide a quantum algorithm to obtain perturbative […]
Seven years ago, Quantum Journal was still just an idea in the minds of a handful of enthusiasts, who believed that it was time to offer a new one way of recognizing and curating outstanding […]
Quantum 7, 999 (2023). https://doi.org/10.22331/q-2023-05-11-999 We prove concentration bounds for the following classes of quantum states: (i) output states of shallow quantum circuits, answering an open question from [16]; (ii) injective matrix product states; (iii) […]
Quantum 7, 998 (2023). https://doi.org/10.22331/q-2023-05-11-998 Measurements of quantum states form a key component in quantum-information processing. It is therefore an important task to compare measurements and furthermore decide if a measurement strategy is optimal. Entropic […]
Quantum 7, 997 (2023). https://doi.org/10.22331/q-2023-05-04-997 Most near-term quantum information processing devices will not be capable of implementing quantum error correction and the associated logical quantum gate set. Instead, quantum circuits will be implemented directly using […]
Quantum 7, 996 (2023). https://doi.org/10.22331/q-2023-05-04-996 We introduce Inflation, a Python library for assessing whether an observed probability distribution is compatible with a causal explanation. This is a central problem in both theoretical and applied sciences, […]
Quantum 7, 995 (2023). https://doi.org/10.22331/q-2023-05-04-995 Simulating large quantum systems is the ultimate goal of quantum computing. Variational quantum simulation (VQS) gives us a tool to achieve the goal in near-term devices by distributing the computation […]
Quantum 7, 994 (2023). https://doi.org/10.22331/q-2023-05-04-994 Rapidly improving gate fidelities for coherent operations mean that errors in state preparation and measurement (SPAM) may become a dominant source of error for fault-tolerant operation of quantum computers. This […]
Quantum 7, 993 (2023). https://doi.org/10.22331/q-2023-05-04-993 We consider the problem of the variational quantum circuit synthesis into a gate set consisting of the CNOT gate and arbitrary single-qubit (1q) gates with the primary target being the […]
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