Quantum

Paper

Graph neural network initialisation of quantum approximate optimisation

Nishant Jain, Brian Coyle, Elham Kashefi, and Niraj Kumar,

Quantum 6, 861 (2022).

Approximate combinatorial optimisation has emerged as one of the most promising application areas for quantum computers, particularly those in the near term. In this work, we focus on the qu…

Paper

Quantum simulation of real-space dynamics

Andrew M. Childs, Jiaqi Leng, Tongyang Li, Jin-Peng Liu, and Chenyi Zhang,

Quantum 6, 860 (2022).

Quantum simulation is a prominent application of quantum computers. While there is extensive previous work on simulating finite-dimensional systems, less is known about quantum algorithms fo…

Paper

Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms

Min Zhuang, Jiahao Huang, and Chaohong Lee,

Quantum 6, 859 (2022).

Invariance under Lorentz transformations is fundamental to both the standard model and general relativity. Testing Lorentz-symmetry violation (LSV) via atomic systems attracts extensive inte…

Paper

Correlations in typicality and an affirmative solution to the exact catalytic entropy conjecture

Henrik Wilming,

Quantum 6, 858 (2022).

I show that if a finite-dimensional density matrix has strictly smaller von Neumann entropy than a second one of the same dimension (and the rank is not bigger), then sufficiently (but finit…

Paper

Quantized Nonlinear Transport with Ultracold Atoms

Fan Yang and Hui Zhai,

Quantum 6, 857 (2022).

In this letter, we propose how to measure the quantized nonlinear transport using two-dimensional ultracold atomic Fermi gases in a harmonic trap. This scheme requires successively applying…

Paper

Symmetry Protected Topological Order in Open Quantum Systems

Caroline de Groot, Alex Turzillo, and Norbert Schuch,

Quantum 6, 856 (2022).

We systematically investigate the robustness of symmetry protected topological (SPT) order in open quantum systems by studying the evolution of string order parameters and other probes under…

Paper

Towards quantum advantage via topological data analysis

Casper Gyurik, Chris Cade, and Vedran Dunjko,

Quantum 6, 855 (2022).

Even after decades of quantum computing development, examples of generally useful quantum algorithms with exponential speedups over classical counterparts are scarce. Recent progress in quan…

Paper

Universal construction of genuinely entangled subspaces of any size

Maciej Demianowicz,

Quantum 6, 854 (2022).

We put forward a simple construction of genuinely entangled subspaces – subspaces supporting only genuinely multipartite entangled states – of any permissible dimensionality for any number o…

Paper

Order preserving maps on quantum measurements

Teiko Heinosaari, Maria Anastasia Jivulescu, and Ion Nechita,

Quantum 6, 853 (2022).

We study the partially ordered set of equivalence classes of quantum measurements endowed with the post-processing partial order. The post-processing order is fundamental as it enables to co…

Paper

Analyticity constraints bound the decay of the spectral form factor

Pablo Martinez-Azcona and Aurélia Chenu,

Quantum 6, 852 (2022).

Quantum chaos cannot develop faster than $\lambda \leq 2 \pi/(\hbar \beta)$ for systems in thermal equilibrium [Maldacena, Shenker & Stanford, JHEP (2016)]. This `MSS bound' on the Lyapunov ex…

Paper

Mutually unbiased frames

Fabián Caro Pérez, Victor Gonzalez Avella, and Dardo Goyeneche,

Quantum 6, 851 (2022).

In this work, the concept of mutually unbiased frames is introduced as the most general notion of unbiasedness for sets composed by linearly independent and normalized vectors. It encompasse…

Paper

On the energy landscape of symmetric quantum signal processing

Jiasu Wang, Yulong Dong, and Lin Lin,

Quantum 6, 850 (2022).

Symmetric quantum signal processing provides a parameterized representation of a real polynomial, which can be translated into an efficient quantum circuit for performing a wide range of com…

Paper

Spectral resolutions in effect algebras

Anna Jenčová and Sylvia Pulmannová,

Quantum 6, 849 (2022).

Effect algebras were introduced as an abstract algebraic model for Hilbert space effects representing quantum mechanical measurements. We study additional structures on an effect algebra $E$ t…

Paper

Coherent feedback in optomechanical systems in the sideband-unresolved regime

Jingkun Guo and Simon Gröblacher,

Quantum 6, 848 (2022).

Preparing macroscopic mechanical resonators close to their motional quantum groundstate and generating entanglement with light offers great opportunities in studying fundamental physics and…

Paper

Using the Environment to Understand non-Markovian Open Quantum Systems

Dominic Gribben, Aidan Strathearn, Gerald E. Fux, Peter Kirton, and Brendon W. Lovett,

Quantum 6, 847 (2022).

Tracing out the environmental degrees of freedom is a necessary procedure when simulating open quantum systems. While being an essential step in deriving a tractable master equation it repre…

Paper

Transformations of Stabilizer States in Quantum Networks

Matthias Englbrecht, Tristan Kraft, and Barbara Kraus,

Quantum 6, 846 (2022).

Stabilizer states and graph states find application in quantum error correction, measurement-based quantum computation and various other concepts in quantum information theory. In this work,…

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