Quantum 8, 1370 (2024). https://doi.org/10.22331/q-2024-06-13-1370 Here we study the unitary groups that can be constructed using elements from the qubit Clifford Hierarchy. We first provide a necessary and sufficient canonical form that semi-Clifford and generalized […]
Quantum 8, 1369 (2024). https://doi.org/10.22331/q-2024-06-13-1369 Time-dependent linear differential equations are a common type of problem that needs to be solved in classical physics. Here we provide a quantum algorithm for solving time-dependent linear differential equations […]
Quantum 8, 1368 (2024). https://doi.org/10.22331/q-2024-06-13-1368 Using local operations and classical communication (LOCC), entanglement can be manipulated but not created. However, entanglement can be $embezzled$. In this work, we completely characterize universal embezzling families and demonstrate […]
Quantum 8, 1367 (2024). https://doi.org/10.22331/q-2024-06-13-1367 Mitigation and calibration schemes are central to maximize the computational reach of today’s Noisy Intermediate Scale Quantum (NISQ) hardware, but these schemes are often specialized to exclusively address either coherent […]
Quantum 8, 1366 (2024). https://doi.org/10.22331/q-2024-06-11-1366 Quantifying entanglement is an important task by which the resourcefulness of a quantum state can be measured. Here, we develop a quantum algorithm that tests for and quantifies the separability […]
Quantum 8, 1365 (2024). https://doi.org/10.22331/q-2024-06-11-1365 Quantum phase transitions encompass a variety of phenomena that occur in quantum systems exhibiting several possible symmetries. Traditionally, these transitions are explored by continuously varying a control parameter that connects […]
Quantum 8, 1364 (2024). https://doi.org/10.22331/q-2024-06-11-1364 Tensor networks are factorizations of high-dimensional tensors into networks of smaller tensors. They have applications in physics and mathematics, and recently have been proposed as promising machine learning architectures. To […]
Quantum 8, 1363 (2024). https://doi.org/10.22331/q-2024-05-29-1363 Coherent-state representations are a standard tool to deal with continuous-variable systems, as they allow one to efficiently visualize quantum states in phase space. Here, we work out an alternative basis […]
Quantum 8, 1362 (2024). https://doi.org/10.22331/q-2024-05-27-1362 Motivated by the ground state structure of quantum models with all-to-all interactions such as mean-field quantum spin glass models and the Sachdev-Ye-Kitaev (SYK) model, we propose a tensor network architecture […]
Quantum 8, 1361 (2024). https://doi.org/10.22331/q-2024-05-27-1361 In this paper, we present a learning algorithm aimed at learning states obtained from computational basis states by Clifford circuits doped with a finite number $t$ of $T$-gates. The algorithm […]
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