Papers
Live trends in quantum computing research, updated daily from arXiv.
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Coupled Cluster Downfolding Theory: towards efficient many-body algorithms for dimensionality reduction of composite quantum systems
Nicholas P. Bauman, K. Kowalski·Nov 5, 2021
The recently introduced coupled cluster (CC) downfolding techniques for reducing the dimensionality of quantum many-body problems recast the CC formalism in the form of the renormalization procedure allowing, for the construction of effective (or dow...
A Theory of Quantum Subspace Diagonalization
Ethan N. Epperly, Lin Lin, Y. Nakatsukasa·Oct 14, 2021
Quantum subspace diagonalization methods are an exciting new class of algorithms for solving large\rev{-}scale eigenvalue problems using quantum computers. Unfortunately, these methods require the solution of an ill-conditioned generalized eigenvalue...
Fundamental Machine Learning Routines as Quantum Algorithms on a Superconducting Quantum Computer
Sristy Sangskriti, Protik Nag, Summit Haque·Sep 17, 2021
The Harrow-Hassidim-Lloyd algorithm is intended for solving the system of linear equations on quantum devices. The exponential advantage of the algorithm comes with four caveats. We present a numerical study of the performance of the algorithm when t...
Linear block and convolutional MDS codes to required rate, distance and type
T. Hurley·Sep 14, 2021
Algebraic methods for the design of series of maximum distance separable (MDS) linear block and convolutional codes to required specifications and types are presented. Algorithms are given to design codes to required rate and required error-correctin...
Equation-of-Motion Theory to Calculate Accurate Band Structures with a Quantum Computer.
Yi-Wei Fan, Jie Liu, Zhenyu Li +1 more·Sep 3, 2021
Band structure is a cornerstone to understand the electronic properties of materials. Accurate band structure calculations using a high-level quantum chemistry theory can be computationally very expensive. It is promising to speed up such calculation...
Approximate Petz Recovery from the Geometry of Density Operators
Samuel S. Cree, J. Sorce·Aug 24, 2021
We derive a new bound on the effectiveness of the Petz map as a universal recovery channel in approximate quantum error correction using the second sandwiched Rényi relative entropy D~2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wa...
Nonnormal Hamiltonian dynamics in quantum systems and its realization on quantum computers
N. Okuma, Yuya O. Nakagawa·Jul 18, 2021
The eigenspectrum of a non-normal matrix, which does not commute with its Hermitian conjugate, is a central issue of non-Hermitian physics that has been extensively studied in the past few years. There is, however, another characteristic of a non-nor...
Quantum-classical hybrid algorithm for the simulation of all-electron correlation.
Jan-Niklas Boyn, A. Lykhin, Scott E. Smart +2 more·Jun 22, 2021
While chemical systems containing hundreds to thousands of electrons remain beyond the reach of quantum devices, hybrid quantum-classical algorithms present a promising pathway toward a quantum advantage. Hybrid algorithms treat the exponentially sca...
Quantum algorithms based on the block-encoding framework for matrix functions by contour integrals
S. Takahira, A. Ohashi, T. Sogabe +1 more·Jun 15, 2021
he matrix functions can be defined by Cauchy's integral formula and can be approximated by the linear combination of inverses of shifted matrices using a quadrature formula. In this paper, we propose a quantum algorithm for matrix functions based on ...
Quantum algorithm for the calculation of transition amplitudes in hybrid tensor networks
S. Kanno, Suguru Endo, Yasunari Suzuki +1 more·May 29, 2021
The hybrid tensor network approach allows us to perform calculations on systems larger than the scale of a quantum computer. However, when calculating transition amplitudes, there is a problem that the number of terms to be measured increases exponen...
Towards a NISQ Algorithm to Simulate Hermitian Matrix Exponentiation
Keren Li·May 28, 2021
A practical fault-tolerant quantum computer is worth looking forward to as it provides applications that outperform their known classical counterparts. However, millions of interacting qubits with stringent criteria are required, which is intractable...
Local and Global Quantum Gates
L. Weng·May 20, 2021
New theories on local p-adic and global adelic quantum gates are developed. In particular, the corresponding universality properties are established using only finitely many local/global quantum gates. 1 Quantum Computing Motivated by the theory of q...
On Quantum Optimal Transport
Sam Cole, Michał Eckstein, S. Friedland +1 more·May 14, 2021
We analyze a quantum version of the Monge–Kantorovich optimal transport problem. The quantum transport cost related to a Hermitian cost matrix C is minimized over the set of all bipartite coupling states ρAB\documentclass[12pt]{minimal} \usepackage{a...
An Algorithmic Approach to Entanglement-Assisted Quantum Error-Correcting Codes from the Hermitian Curve
R. B. Christensen, C. Munuera, F. Pereira +1 more·May 5, 2021
<p style='text-indent:20px;'>We study entanglement-assisted quantum error-correcting codes (EAQECCs) arising from classical one-point algebraic geometry codes from the Hermitian curve with respect to the Hermitian inner product. Their only unknown pa...
Quantum Power Flow
Fei Feng, Yifan Zhou, Peng Zhang·Apr 11, 2021
This letter is a proof of concept for quantum power flow (QPF) algorithms which underpin various unprecedentedly efficient power system analytics exploiting quantum computing. Our contributions are three-fold: 1) Establish a quantum-state-based fast ...
Robust entanglement detection in arbitrary two-mode Gaussian state: a Stokes-like operator-based approach
Arijit Dutta, Sibasish Ghosh, Jaewan Kim +1 more·Mar 24, 2021
Detection of entanglement in quantum states is one of the most important problems in quantum information processing. However, it is one of the most challenging tasks to find a universal scheme which is also desired to be optimal to detect entanglemen...
Quantum algorithms for powering stable Hermitian matrices
G. Gonz'alez, Rahul Trivedi, J. Cirac·Mar 15, 2021
Matrix powering is a fundamental computational primitive in linear algebra. It has widespread applications in scientific computing and engineering, and underlies the solution of time-homogeneous linear ordinary differential equations, simulation of d...
Resolving correlated states of benzyne with an error-mitigated contracted quantum eigensolver
Scott E. Smart, Jan-Niklas Boyn, D. Mazziotti·Mar 11, 2021
The simulation of strongly correlated many-electron systems is one of the most promising applications for near-term quantum devices. Here we use a class of eigenvalue solvers (presented in Phys. Rev. Lett. 126, 070504 (2021)) in which a contraction o...
Quantum Algorithm for DOA Estimation in Hybrid Massive MIMO
Fanxu Meng·Feb 8, 2021
The direction of arrival (DOA) estimation in array signal processing is an important research area. The effectiveness of the direction of arrival greatly determines the performance of multi-input multioutput (MIMO) antenna systems. The multiple signa...
Strong Coupling of an Fe - Co Alloy with Ultralow Damping to Superconducting Co-planar Waveguide Resonators
I. Haygood, M. Pufall, E. Edwards +2 more·Feb 1, 2021
We report on the strong coupling between a metallic ferromagnetic Fe75Co25 thin film patterned element and a range of superconducting Nb half-wavelength co-planar waveguide (CPW) resonators. By varying the volume of the ferromagnet we demonstrate tha...