Papers

Luca Erhart, Yuichiro Yoshida, V. Khinevich +1 more·Jun 11, 2024

We propose an approach to approximately implement the variational coupled cluster (VCC) theory on quantum computers, which struggles with exponential scaling of computational costs on classical computers. To this end, we employ expanding the exponent...

Yanlin Chen, Andr'as Gily'en, Ronald de Wolf·May 23, 2024

Finding a good approximation of the top eigenvector of a given $d\times d$ matrix $A$ is a basic and important computational problem, with many applications. We give two different quantum algorithms that, given query access to the entries of a Hermit...

Kristian Wold, P. Ribeiro, S. Denisov·May 19, 2024

Random unitaries are an important resource for quantum information processing. While their universal properties have been thoroughly analyzed, it is not known what happens to these properties when the unitaries are sampled on the present-day noisy in...

Sachin S. Bharadwaj, K. Sreenivasan·May 16, 2024

Many claims of computational advantages have been made for quantum computing over classical but they have not been demonstrated for practical problems. Here, we present algorithms for solving time-dependent PDEs, with particular reference to fluid eq...

S. Danz, Mario Berta, Stefan Schroder +3 more·May 14, 2024

We study the problem of estimating frequency response functions of systems of coupled, classical harmonic oscillators using a quantum computer. The functional form of these response functions can be mapped to a corresponding eigenproblem of a Hermiti...

Jan Peřina, Kishore Thapliyal, Grzegorz Chimczak +2 more·May 2, 2024

We analyze the existence and degeneracies of quantum exceptional, diabolical, and hybrid points in simple bosonic systems - comprising up to six modes with damping and/or amplification - under two complementary scenarios to those described in Quantum...

Kishore Thapliyal, Jan Peřina, Grzegorz Chimczak +2 more·May 2, 2024

The existence and degeneracies of quantum exceptional, diabolical, and hybrid (i.e., diabolically degenerated exceptional) singularities of simple bosonic systems composed of up to five modes with damping and/or amplification are analyzed. Their dyna...

P. Alsing, Richard J. Birrittella·Apr 21, 2024

We show numerical evidence for a bipartite d×d pure state entanglement witness that is readily calculated from the wavefunction coefficients directly, without the need for the numerical computation of eigenvalues. This is accomplished by using an app...

Yukai Guo, Xing Gao·Apr 16, 2024

Quantum simulation of non-Markovian open quantum dynamics is essential but challenging for standard quantum computers due to their non-Hermitian nature, leading to non-unitary evolution, and the limitations of available quantum resources. Here we int...

Marco Majland, Patrick Ettenhuber, N. T. Zinner +1 more·Apr 10, 2024

Quantum chemistry is one of the most promising applications for which quantum computing is expected to have a significant impact. Despite considerable research in the field of electronic structure, calculating the vibrational properties of molecules ...

Tianhao Ren, Yao Shen, Marton Lajer +9 more·Apr 8, 2024

Although entanglement is both a central ingredient in our understanding of quantum many-body systems and an essential resource for quantum technologies, we only have a limited ability to quantify entanglement in real quantum materials. Thus far, enta...

Cristian L. Cortes, Dario Rocca, Jérôme F. Gonthier +7 more·Mar 7, 2024

The computational cost of quantum algorithms for physics and chemistry is closely linked to the spectrum of the Hamiltonian, a property that manifests in the necessary rescaling of its eigenvalues. The typical approach of using the 1-norm as an upper...

Zhong-Xia Shang·Mar 6, 2024

We propose a new variational quantum algorithm named Variational Open Quantum Eigensolver (VOQE) for solving steady states of open quantum systems described by either Lindblad master equations or non-Hermitian Hamiltonians. In VOQE, density matrices ...

Ben Zindorf, Sougato Bose·Feb 19, 2024

Universal gate sets for quantum computation, when single and two qubit operations are accessible, include both Hermitian and non-Hermitian gates. Here we utilize the fact that any single-qubit operator may be implemented as two Hermitian gates, and...

PG Sreeram·Feb 1, 2024

How classical chaos emerges from the underlying quantum world is a fundamental problem in physics. The origin of this question is in the correspondence principle. Classical chaos arises due to non-linear dynamics, whereas quantum mechanics, driven by...

Yang Long, Haoran Xue, Baile Zhang·Jan 31, 2024

The topological classification of energy bands has laid the foundation for the discovery of various topological phases of matter in recent decades. While previous work focused on real-energy bands in Hermitian systems, recent studies have shifted att...

Xiao-Ming Zhang, Yukun Zhang, Wenhao He +1 more·Jan 22, 2024

Non-Hermitian physics has emerged as a rich field of study, with applications ranging from PT-symmetry breaking and skin effects to non-Hermitian topological phase transitions. Yet most studies remain restricted to small-scale or classically tractabl...

G. Kadiri·Jan 17, 2024

We propose a quantum game based on coin-based quantum walks. Given a quantum walk and a Hermitian operator on the coin-position composite space, winning this game involves choosing an initial coin state such that the given quantum walk leads to a com...

Ruhao Wan, Shixin Zhu·Jan 16, 2024

In this paper, we study the Hermitian hulls of generalized Reed-Solomon (GRS) codes over finite fields. For a given class of GRS codes, by extending the length, increasing the dimension, and extending the length and increasing the dimension at the sa...

Guang Hao Low, Yuan Su·Jan 11, 2024

Many problems in linear algebra -- such as those arising from non-Hermitian physics and differential equations -- can be solved on a quantum computer by processing eigenvalues of the non-normal input matrices. However, the existing Quantum Singular V...