Quantum 7, 1031 (2023). https://doi.org/10.22331/q-2023-06-02-1031 Block encoding lies at the core of many existing quantum algorithms. Meanwhile, efficient and explicit block encodings of dense operators are commonly acknowledged as a challenging problem. This paper presents […]
Quantum 7, 1030 (2023). https://doi.org/10.22331/q-2023-06-02-1030 Classical algorithms are often not effective for solving nonconvex optimization problems where local minima are separated by high barriers. In this paper, we explore possible quantum speedups for nonconvex optimization […]
Quantum 7, 1029 (2023). https://doi.org/10.22331/q-2023-06-02-1029 A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its […]
Quantum 7, 1028 (2023). https://doi.org/10.22331/q-2023-06-01-1028 Existing work on quantum causal structure assumes that one can perform arbitrary operations on the systems of interest. But this condition is often not met. Here, we extend the framework […]
Quantum 7, 1027 (2023). https://doi.org/10.22331/q-2023-06-01-1027 Equilibrium statistical mechanics provides powerful tools to understand physics at the macroscale. Yet, the question remains how this can be justified based on a microscopic quantum description. Here, we extend […]
Quantum 7, 1026 (2023). https://doi.org/10.22331/q-2023-06-01-1026 Classical shadow tomography is a powerful randomized measurement protocol for predicting many properties of a quantum state with few measurements. Two classical shadow protocols have been extensively studied in the […]
Quantum 7, 1025 (2023). https://doi.org/10.22331/q-2023-05-31-1025 Coherent states of the quantum electromagnetic field, the quantum description of ideal laser light, are prime candidates as information carriers for optical communications. A large body of literature exists on […]
Quantum 7, 1024 (2023). https://doi.org/10.22331/q-2023-05-31-1024 The precise determination of a displacement of a mechanical oscillator or a microwave field in a predetermined direction in phase space can be carried out with trapped ions or superconducting […]
Quantum 7, 1023 (2023). https://doi.org/10.22331/q-2023-05-31-1023 Quantum Neural Networks (QNN) are considered a candidate for achieving quantum advantage in the Noisy Intermediate Scale Quantum computer (NISQ) era. Several QNN architectures have been proposed and successfully tested […]
Quantum 7, 1022 (2023). https://doi.org/10.22331/q-2023-05-24-1022 Equilibrium quantum many-body systems in the vicinity of phase transitions generically manifest universality. In contrast, limited knowledge has been gained on possible universal characteristics in the non-equilibrium evolution of systems […]
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