Quantum 8, 1257 (2024). https://doi.org/10.22331/q-2024-02-15-1257 We propose a novel deterministic method for preparing arbitrary quantum states. When our protocol is compiled into CNOT and arbitrary single-qubit gates, it prepares an $N$-dimensional state in depth $O(log(N))$ […]
Quantum 8, 1256 (2024). https://doi.org/10.22331/q-2024-02-15-1256 Quantum technologies have matured to the point that we can test fundamental quantum phenomena under extreme conditions. Specifically, entanglement, a cornerstone of modern quantum information theory, can be robustly produced […]
Quantum 8, 1255 (2024). https://doi.org/10.22331/q-2024-02-14-1255 In quantum theory, a measurement context is defined by an orthogonal basis in a Hilbert space, where each basis vector represents a specific measurement outcome. The precise quantitative relation between […]
Quantum 8, 1254 (2024). https://doi.org/10.22331/q-2024-02-13-1254 By exploiting the link between time-independent Hamiltonians and thermalisation, heuristic predictions on the performance of continuous-time quantum walks for MAX-CUT are made. The resulting predictions depend on the number of […]
Quantum 8, 1253 (2024). https://doi.org/10.22331/q-2024-02-13-1253 We propose a new design heuristic to tackle combinatorial optimisation problems, inspired by Hamiltonians for optimal state-transfer. The result is a rapid approximate optimisation algorithm. We provide numerical evidence of […]
Quantum 8, 1252 (2024). https://doi.org/10.22331/q-2024-02-13-1252 Emerging quantum hardware provides new possibilities for quantum simulation. While much of the research has focused on simulating closed quantum systems, the real-world quantum systems are mostly open. Therefore, it […]
Quantum 8, 1251 (2024). https://doi.org/10.22331/q-2024-02-12-1251 A general quantum circuit can be simulated classically in exponential time. If it has a planar layout, then a tensor-network contraction algorithm due to Markov and Shi has a runtime […]
Quantum 8, 1250 (2024). https://doi.org/10.22331/q-2024-02-12-1250 One of the primary objectives in the field of quantum state learning is to develop algorithms that are time-efficient for learning states generated from quantum circuits. Earlier investigations have demonstrated […]
Quantum 8, 1249 (2024). https://doi.org/10.22331/q-2024-02-12-1249 Traditional stabilizer codes operate over prime power local-dimensions. In this work we extend the stabilizer formalism using the local-dimension-invariant setting to import stabilizer codes from these standard local-dimensions to other […]
Quantum 8, 1248 (2024). https://doi.org/10.22331/q-2024-02-12-1248 In the absence of a complete theory of quantum gravity, phenomenological models built upon minimal assumptions have been explored for the analysis of possible quantum effects in gravitational systems. Implications […]
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