Quantum 8, 1233 (2024). https://doi.org/10.22331/q-2024-01-24-1233 Recent constructions of quantum low-density parity-check (QLDPC) codes provide optimal scaling of the number of logical qubits and the minimum distance in terms of the code length, thereby opening the […]
Quantum 8, 1232 (2024). https://doi.org/10.22331/q-2024-01-24-1232 The Hidden Quantum Markov Model (HQMM) has significant potential for analyzing time-series data and studying stochastic processes in the quantum domain as an upgrading option with potential advantages over classical […]
Quantum 8, 1231 (2024). https://doi.org/10.22331/q-2024-01-18-1231 Quantum Approximate Optimization Algorithm (QAOA) is a leading candidate algorithm for solving combinatorial optimization problems on quantum computers. However, in many cases QAOA requires computationally intensive parameter optimization. The challenge […]
Quantum 8, 1230 (2024). https://doi.org/10.22331/q-2024-01-18-1230 This work presents a study of Kolmogorov complexity for general quantum states from the perspective of deterministic-control quantum Turing Machines (dcq-TM). We extend the dcq-TM model to incorporate mixed state […]
Quantum 8, 1229 (2024). https://doi.org/10.22331/q-2024-01-18-1229 We study the competing effects of collective generalized measurements and interaction-induced scrambling in the dynamics of an ensemble of spin-1/2 particles at the level of quantum trajectories. This setup can […]
Quantum 8, 1228 (2024). https://doi.org/10.22331/q-2024-01-15-1228 We study how parallelism can speed up quantum simulation. A parallel quantum algorithm is proposed for simulating the dynamics of a large class of Hamiltonians with good sparse structures, called […]
Quantum 8, 1227 (2024). https://doi.org/10.22331/q-2024-01-11-1227 We discuss the construction of a microcanonical projection WOW of a quantum operator O induced by an energy window filter W, its spectrum, and the retrieval of canonical many-time correlations […]
Quantum 8, 1226 (2024). https://doi.org/10.22331/q-2024-01-11-1226 The cost of data input can dominate the run-time of quantum algorithms. Here, we consider data input of arithmetically structured matrices via $textit{block encoding}$ circuits, the input model for the […]
Quantum 8, 1225 (2024). https://doi.org/10.22331/q-2024-01-11-1225 Quantum support vector machines employ quantum circuits to define the kernel function. It has been shown that this approach offers a provable exponential speedup compared to any known classical algorithm […]
Quantum 8, 1224 (2024). https://doi.org/10.22331/q-2024-01-10-1224 We introduce a framework to compute upper bounds for temporal correlations achievable in open quantum system dynamics, obtained by repeated measurements on the system. As these correlations arise by virtue […]
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