Papers

V. Armaos, A. Argiriou, Ioannis Kioutsioukis·Jan 7, 2024

This paper explores the potential contribution of quantum computing, specifically the Variational Quantum Eigensolver (VQE), into atmospheric physics research and application problems using as an example the Lorenz system, a paradigm of chaotic behav...

Y. Balytskyi, Yevgen V. Kotukh, Gennady Khalimov +1 more·Dec 27, 2023

$\mathcal{PT}$-symmetric systems have garnered significant attention due to their unconventional properties. Despite the growing interest, there remains an ongoing debate about whether these systems outperform their Hermitian counterparts in practica...

Peter Brearley, Sylvain Laizet·Dec 15, 2023

A quantum algorithm for solving the advection equation by embedding the discrete time-marching operator into Hamiltonian simulations is presented. One-dimensional advection can be simulated directly since the central finite-difference operator for fi...

Kaelyn Ferris, Zihang Wang, I. Hen +3 more·Dec 1, 2023

We introduce a novel approach for estimating the spectrum of quantum many-body Hamiltonians, and more generally, of Hermitian operators, using quantum time evolution. In our approach we are evolving a maximally mixed state under the Hamiltonian of in...

Ruizhe Shen, Tianqi Chen, Bo Yang +1 more·Nov 16, 2023

Lately, the non-Hermitian skin effect (NHSE) has been demonstrated in various classical metamaterials and even ultracold atomic arrays. Yet, its interplay with many-body dynamics have never been experimentally investigated. Here, we report the observ...

Elena Berardini, A. Caminata, A. Ravagnani·Oct 25, 2023

We investigate CSS and CSS-T quantum error-correcting codes from the point of view of their existence, rarity, and performance. We give a lower bound on the number of pairs of linear codes that give rise to a CSS code with good correction capability,...

Sandy Irani, Jiaqing Jiang·Sep 10, 2023

We study the complexity of local Hamiltonians in which the terms pairwise commute. Commuting local Hamiltonians (CLHs) provide a way to study the role of non-commutativity in the complexity of quantum systems and touch on many fundamental aspects of ...

Himanshu Badhani, C. M. Chandrashekar·Sep 6, 2023

Evolutions under non-Hermitian Hamiltonians with unbroken $\mathcal{PT}$ symmetry can be considered unitary under appropriate choices of inner products, facilitated by the so-called metric operator. While it is understood that the choice of the metri...

R. W. Bomantara·Sep 3, 2023

We study an analytically solvable and experimentally relevant number-conserving periodically driven $p$-wave superconductor. Such a system is found to support generalized Majorana zero and $\pi$ modes which, despite being non-Hermitian, are still cap...

Ningping Cao, Maxwell Fitzsimmons, Z. Mann +2 more·Aug 3, 2023

For an open quantum system to evolve under CPTP maps, assumptions are made on the initial correlations between the system and the environment. Hermitian-preserving trace-preserving (HPTP) maps are considered as the local dynamic maps beyond CPTP. In ...

R. Bardenet, Michaël Fanuel, A. Feller·May 25, 2023

DPPs were introduced by Macchi as a model in quantum optics the 1970s. Since then, they have been widely used as models and subsampling tools in statistics and computer science. Most applications require sampling from a DPP, and given their quantum o...

David Jennings, Matteo Lostaglio, Sam Pallister +2 more·May 19, 2023

Solving linear systems of equations is a fundamental problem with a wide variety of applications across many fields of science, and there is increasing effort to develop quantum linear solver algorithms. [Subaşi et al., Phys. Rev. Lett. (2019)] propo...

Keshav Das Agarwal, Tanoy Kanti Konar, Leela Ganesh Chandra Lakkaraju +1 more·May 15, 2023

The non-Hermitian model exhibits counterintuitive phenomena that are not observed in the Hermitian counterparts. To probe the competition between non-Hermitian and Hermitian interacting components of the Hamiltonian, we focus on a system containing n...

Shihao Zhang, Junda Wu, Lvzhou Li·Apr 18, 2023

We conduct a systematic study of quantum circuits composed of multiple-control $Z$-rotation (MCZR) gates as primitives, since they are widely-used components in quantum algorithms and also have attracted much experimental interest in recent years. He...

Yuan Feng, Ying Xu·Feb 15, 2023

Nondeterministic choice is a useful program construct that provides a way to describe the behaviour of a program without specifying the details of possible implementations. It supports the stepwise refinement of programs, a method that has proven use...

Daniel Yoffe, Noga Entin, A. Natan +1 more·Feb 13, 2023

Finding the ground-state energy of molecules is an important and challenging computational problem for which quantum computing can potentially find efficient solutions. The variational quantum eigensolver (VQE) is a quantum algorithm that tackles the...

Yang Zhang, Yunhui Ge, Yu-xi Liu·Feb 8, 2023

Kitaev chain is one of the important physical models for studying topological quantum states and quantum computing. We here propose an approach to simulate the one-dimensional Kitaev chain via a circuit of superconducting qubits. In our approach, all...

B. Tissot, G. Burkard·Dec 21, 2022

Matter qubit to traveling photonic qubit conversion is the cornerstone of numerous quantum technologies such as distributed quantum computing, as well as several quantum internet and networking protocols. We formulate a theory for stimulated Raman em...

I. Novikau, I. Dodin, E. Startsev·Dec 18, 2022

We propose a quantum algorithm for simulating dissipative waves in inhomogeneous linear media as a boundary-value problem. Using the so-called quantum singular value transformation (QSVT), we construct a quantum circuit that models the propagation of...

S. Shanmugam, S. Kalyani·Dec 17, 2022

Quantum state tomography aims to estimate the state of a quantum mechanical system which is described by a trace one, Hermitian positive semidefinite complex matrix, given a set of measurements of the state. Existing works focus on estimating the den...