Quantum 7, 1009 (2023). https://doi.org/10.22331/q-2023-05-22-1009 We introduce a new framework for contextuality based on simplicial sets, combinatorial models of topological spaces that play a prominent role in modern homotopy theory. Our approach extends measurement scenarios […]
Quantum 7, 1008 (2023). https://doi.org/10.22331/q-2023-05-15-1008 We describe a complete method for a precise study of gravitational interaction between two nearby quantum masses. Since the displacements of these masses are much smaller than the initial separation […]
Quantum 7, 1007 (2023). https://doi.org/10.22331/q-2023-05-15-1007 We propose, formulate and examine novel quantum systems and behavioral phases in which momentary choices of the system’s memories interact in order to source the internal interactions and unitary time […]
Quantum 7, 1006 (2023). https://doi.org/10.22331/q-2023-05-15-1006 Quantum computing testbeds exhibit high-fidelity quantum control over small collections of qubits, enabling performance of precise, repeatable operations followed by measurements. Currently, these noisy intermediate-scale devices can support a sufficient […]
Quantum 7, 1005 (2023). https://doi.org/10.22331/q-2023-05-15-1005 Bias-tailoring allows quantum error correction codes to exploit qubit noise asymmetry. Recently, it was shown that a modified form of the surface code, the XZZX code, exhibits considerably improved performance […]
Quantum 7, 1004 (2023). https://doi.org/10.22331/q-2023-05-15-1004 Quantum many-body scarring is a paradigm of weak ergodicity breaking arising due to the presence of special nonthermal many-body eigenstates that possess low entanglement entropy, are equally spaced in energy, […]
Quantum 7, 1003 (2023). https://doi.org/10.22331/q-2023-05-15-1003 The advantage that quantum systems provide for certain quantum information processing tasks over their classical counterparts can be quantified within the general framework of resource theories. Certain distance functions between […]
Quantum 7, 1002 (2023). https://doi.org/10.22331/q-2023-05-15-1002 Simulating general quantum processes that describe realistic interactions of quantum systems following a non-unitary evolution is challenging for conventional quantum computers that directly implement unitary gates. We analyze complexities for […]
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 […]
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