Quantum 7, 1110 (2023). https://doi.org/10.22331/q-2023-09-11-1110 We present two quantum interior point methods for semidefinite optimization problems, building on recent advances in quantum linear system algorithms. The first scheme, more similar to a classical solution algorithm, […]
Quantum 7, 1109 (2023). https://doi.org/10.22331/q-2023-09-11-1109 In the lead up to fault tolerance, the utility of quantum computing will be determined by how adequately the effects of noise can be circumvented in quantum algorithms. Hybrid quantum-classical […]
Quantum 7, 1108 (2023). https://doi.org/10.22331/q-2023-09-11-1108 Efficient methods for the representation and simulation of quantum states and quantum operations are crucial for the optimization of quantum circuits. Decision diagrams (DDs), a well-studied data structure originally used […]
Quantum 7, 1107 (2023). https://doi.org/10.22331/q-2023-09-11-1107 Recently, quantum computing experiments have for the first time exceeded the capability of classical computers to perform certain computations – a milestone termed “quantum computational advantage.” However, verifying the output […]
Quantum 7, 1106 (2023). https://doi.org/10.22331/q-2023-09-11-1106 We introduce distance measures between quantum states, measurements, and channels based on their statistical distinguishability in generic experiments. Specifically, we analyze the average Total Variation Distance (TVD) between output statistics […]
Quantum 7, 1105 (2023). https://doi.org/10.22331/q-2023-09-11-1105 We study the problem of testing identity of a collection of unknown quantum states given sample access to this collection, each state appearing with some known probability. We show that […]
Quantum 7, 1104 (2023). https://doi.org/10.22331/q-2023-09-07-1104 A powerful operational paradigm for distributed quantum information processing involves manipulating pre-shared entanglement by local operations and classical communication (LOCC). The LOCC round complexity of a given task describes how […]
Quantum 7, 1103 (2023). https://doi.org/10.22331/q-2023-09-07-1103 We show that the proof of the generalised quantum Stein’s lemma [Brandão & Plenio, Commun. Math. Phys. 295, 791 (2010)] is not correct due to a gap in the argument […]
Quantum 7, 1102 (2023). https://doi.org/10.22331/q-2023-09-07-1102 Integral representations of quantum relative entropy, and of the directional second and higher order derivatives of von Neumann entropy, are established, and used to give simple proofs of fundamental, known […]
Quantum 7, 1101 (2023). https://doi.org/10.22331/q-2023-09-07-1101 An orthogonal set of states in multipartite systems is called to be strong quantum nonlocality if it is locally irreducible under every bipartition of the subsystems [46]. In this work, […]
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