Quantum 5, 534 (2021). https://doi.org/10.22331/q-2021-08-31-534 Quantum computing can efficiently simulate Hamiltonian dynamics of many-body quantum physics, a task that is generally intractable with classical computers. The hardness lies at the ubiquitous anti-commutative relations of quantum […]
Quantum 5, 533 (2021). https://doi.org/10.22331/q-2021-08-31-533 We present methods for implementing arbitrary permutations of qubits under interaction constraints. Our protocols make use of previous methods for rapidly reversing the order of qubits along a path. Given […]
Quantum 5, 532 (2021). https://doi.org/10.22331/q-2021-08-30-532 The quantum approximate optimization algorithm (QAOA) has become a cornerstone of contemporary quantum applications development. Here we show that the $density$ of problem constraints versus problem variables acts as a […]
Quantum 5, 531 (2021). https://doi.org/10.22331/q-2021-08-30-531 A key problem in the field of quantum computing is understanding whether quantum machine learning (QML) models implemented on noisy intermediate-scale quantum (NISQ) machines can achieve quantum advantages. Recently, Huang […]
Quantum 5, 530 (2021). https://doi.org/10.22331/q-2021-08-27-530 In a quantum world, reference frames are ultimately quantum systems too – but what does it mean to “jump into the perspective of a quantum particle”? In this work, we […]
Quantum 5, 529 (2021). https://doi.org/10.22331/q-2021-08-20-529 We initiate the study of quantum algorithms for escaping from saddle points with provable guarantee. Given a function $fcolonmathbb{R}^{n}tomathbb{R}$, our quantum algorithm outputs an $epsilon$-approximate second-order stationary point using $tilde{O}(log^{2} […]
Quantum 5, 528 (2021). https://doi.org/10.22331/q-2021-08-19-528 It is well known that by repeatedly measuring a quantum system it is possible to completely freeze its dynamics into a well defined state, a signature of the quantum Zeno […]
Quantum 5, 527 (2021). https://doi.org/10.22331/q-2021-08-19-527 By taking a Poisson limit for a sequence of rare quantum objects, I derive simple formulas for the Uhlmann fidelity, the quantum Chernoff quantity, the relative entropy, and the Helstrom […]
Quantum 5, 526 (2021). https://doi.org/10.22331/q-2021-08-17-526 What is the role of topology in the propagation of quantum light in photonic lattices? We address this question by studying the propagation of squeezed states in a topological one-dimensional […]
Quantum 5, 525 (2021). https://doi.org/10.22331/q-2021-08-17-525 Quantum interference of “clocks”, namely of particles with time-evolving internal degrees of freedom (DOFs), is a promising avenue to test genuine general relativistic effects in quantum systems. The clock acquires […]
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