Quantum

Paper

Quantum Fully Homomorphic Encryption by Integrating Pauli One-time Pad with Quaternions

Guangsheng Ma and Hongbo Li,

Quantum 6, 866 (2022).

Quantum fully homomorphic encryption (QFHE) allows to evaluate quantum circuits on encrypted data. We present a novel QFHE scheme, which extends Pauli one-time pad encryption by relying on t…

Paper

Background Independence and Quantum Causal Structure

Lachlan Parker and Fabio Costa,

Quantum 6, 865 (2022).

One of the key ways in which quantum mechanics differs from relativity is that it requires a fixed background reference frame for spacetime. In fact, this appears to be one of the main conce…

Paper

Complexity and entanglement in non-local computation and holography

Alex May,

Quantum 6, 864 (2022).

Does gravity constrain computation? We study this question using the AdS/CFT correspondence, where computation in the presence of gravity can be related to non-gravitational physics in the b…

Paper

The Complexity of Bipartite Gaussian Boson Sampling

Daniel Grier, Daniel J. Brod, Juan Miguel Arrazola, Marcos Benicio de Andrade Alonso, and Nicolás Quesada,

Quantum 6, 863 (2022).

Gaussian boson sampling is a model of photonic quantum computing that has attracted attention as a platform for building quantum devices capable of performing tasks that are out of reach for…

Paper

On contraction coefficients, partial orders and approximation of capacities for quantum channels

Christoph Hirche, Cambyse Rouzé, and Daniel Stilck França,

Quantum 6, 862 (2022).

The data processing inequality is the most basic requirement for any meaningful measure of information. It essentially states that distinguishability measures between states decrease if we a…

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…

Category: Paper