Quantum 5, 582 (2021). https://doi.org/10.22331/q-2021-11-17-582 A large body of recent work has begun to explore the potential of parametrized quantum circuits (PQCs) as machine learning models, within the framework of hybrid quantum-classical optimization. In particular, […]
Quantum 5, 581 (2021). https://doi.org/10.22331/q-2021-11-16-581 We show that the Randomized Benchmarking (RB) protocol is a convolution amenable to Fourier space analysis. By adopting the mathematical framework of Fourier transforms of matrix-valued functions on groups established […]
Quantum 5, 580 (2021). https://doi.org/10.22331/q-2021-11-16-580 The Clifford group is a finite subgroup of the unitary group generated by the Hadamard, the CNOT, and the Phase gates. This group plays a prominent role in quantum error […]
Quantum 5, 579 (2021). https://doi.org/10.22331/q-2021-11-16-579 Recently, the steady states of non-unitary free fermion dynamics are found to exhibit novel critical phases with power-law squared correlations and a logarithmic subsystem entanglement. In this work, we theoretically […]
Quantum 5, 578 (2021). https://doi.org/10.22331/q-2021-11-15-578 The demonstration of quantum speedup, also known as quantum computational supremacy, that is the ability of quantum computers to outperform dramatically their classical counterparts, is an important milestone in the […]
Quantum 5, 577 (2021). https://doi.org/10.22331/q-2021-11-15-577 We investigate the problem of fast-forwarding quantum evolution, whereby the dynamics of certain quantum systems can be simulated with gate complexity that is sublinear in the evolution time. We provide […]
Quantum 5, 576 (2021). https://doi.org/10.22331/q-2021-11-11-576 We analyse the problem of transmitting a number of unknown quantum states or one composite system in one go. We derive a lower bound on the performance of such process, […]
Quantum 5, 575 (2021). https://doi.org/10.22331/q-2021-11-11-575 Reasoning about Bell nonlocality from the correlations observed in post-selected data is always a matter of concern. This is because conditioning on the outcomes is a source of non-causal correlations, […]
Quantum 5, 574 (2021). https://doi.org/10.22331/q-2021-11-10-574 Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description. However, while high-precision […]
Quantum 5, 573 (2021). https://doi.org/10.22331/q-2021-11-08-573 Quantum algorithms for solving the Quantum Linear System (QLS) problem are among the most investigated quantum algorithms of recent times, with potential applications including the solution of computationally intractable differential […]
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