Quantum 6, 803 (2022). https://doi.org/10.22331/q-2022-09-15-803 This paper builds on the idea of simulating stabiliser circuits through transformations of {quadratic form expansions}. This is a representation of a quantum state which specifies a formula for the […]
Quantum 6, 802 (2022). https://doi.org/10.22331/q-2022-09-08-802 The challenge of quantum computing is to combine error resilience with universal computation. Diagonal gates such as the transversal $T$ gate play an important role in implementing a universal set […]
Quantum 6, 801 (2022). https://doi.org/10.22331/q-2022-09-08-801 We introduce unique class of cyclic quantum thermal machines (QTMs) which can maximize their performance at the finite value of cycle duration $tau$ where they are most irreversible. These QTMs […]
Quantum 6, 800 (2022). https://doi.org/10.22331/q-2022-09-08-800 We propose a continuous-variable (CV) SWAP test that requires no ancilla register, thereby generalizing the ancilla-free SWAP test for qubits. In this ancilla-free CV SWAP test, the computational basis measurement […]
Quantum 6, 799 (2022). https://doi.org/10.22331/q-2022-09-08-799 In certain regimes, the fidelity of quantum states will decay at a rate set by the classical Lyapunov exponent. This serves both as one of the most important examples of […]
Quantum 6, 798 (2022). https://doi.org/10.22331/q-2022-09-08-798 There is no unique way to encode a quantum algorithm into a quantum circuit. With limited qubit counts, connectivity, and coherence times, a quantum circuit optimization is essential to make […]
Quantum 6, 797 (2022). https://doi.org/10.22331/q-2022-09-08-797 We propose a method for finding approximate compilations of quantum unitary transformations, based on techniques from policy gradient reinforcement learning. The choice of a stochastic policy allows us to rephrase […]
Quantum 6, 796 (2022). https://doi.org/10.22331/q-2022-09-08-796 The Algebraic Bethe Ansatz (ABA) is a highly successful analytical method used to exactly solve several physical models in both statistical mechanics and condensed-matter physics. Here we bring the ABA […]
Quantum 6, 795 (2022). https://doi.org/10.22331/q-2022-09-08-795 The applications of random quantum circuits range from quantum computing and quantum many-body systems to the physics of black holes. Many of these applications are related to the generation of […]
Quantum 6, 794 (2022). https://doi.org/10.22331/q-2022-09-08-794 We investigate attractor quantum neural networks (aQNNs) within the framework of coherence theory. We show that: i) aQNNs are associated to non-coherence-generating quantum channels; ii) the depth of the network […]
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