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 […]
Quantum 6, 789 (2022). https://doi.org/10.22331/q-2022-09-01-789 We present classical and quantum algorithms for approximating partition functions of classical Hamiltonians at a given temperature. Our work has two main contributions: first, we modify the classical algorithm of […]
AI and conventional computers are a match made in hell. The main reason is how hardware chips are currently set up. Based on the traditional Von Neumann architecture, the chip isolates memory storage from its […]
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