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 […]
Tag: quantumjournal
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 […]
Quantum 6, 793 (2022). https://doi.org/10.22331/q-2022-09-08-793 A gapped ground state of a quantum spin system has a natural length scale set by the gap. This length scale governs the decay of correlations. A common intuition is […]
Quantum 6, 792 (2022). https://doi.org/10.22331/q-2022-09-08-792 Security proof methods for quantum key distribution, QKD, that are based on the numerical key rate calculation problem, are powerful in principle. However, the practicality of the methods are limited […]
Quantum 6, 791 (2022). https://doi.org/10.22331/q-2022-09-01-791 We establish a strong monogamy-of-entanglement property for subspace coset states, which are uniform superpositions of vectors in a linear subspace of $mathbb{F}_2^n$ to which has been applied a quantum one-time […]
Quantum 6, 790 (2022). https://doi.org/10.22331/q-2022-09-01-790 We consider random translation-invariant frustration-free quantum spin Hamiltonians on $mathbb Z^D$ in which the nearest-neighbor interaction in every direction is randomly sampled and then distributed across the lattice. Our main […]
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