scholarly journals Preparing Bethe Ansatz Eigenstates on a Quantum Computer

PRX Quantum ◽  
2021 ◽  
Vol 2 (4) ◽  
Author(s):  
John S. Van Dyke ◽  
George S. Barron ◽  
Nicholas J. Mayhall ◽  
Edwin Barnes ◽  
Sophia E. Economou
Keyword(s):  
Bethe Ansatz ◽  
Quantum Computer

Schwinger Geometry, Bethe Ansatz, and a Magnonic Qudit

2009 ◽  
Vol 16 (02n03) ◽  
pp. 221-233 ◽  
Author(s):  
Paweł Jakubczyk ◽  
Stanisław Topolewicz ◽  
Andrzej Wal ◽  
Tadeusz Lulek
Keyword(s):  
Bethe Ansatz ◽  
Quantum Computer ◽  
Single Spin ◽  
Finite Dimensional ◽  
Heisenberg Hamiltonian ◽  
Weyl Duality ◽  
Xxx Model ◽  
Classical Phase Space ◽  
Magnetic Ring ◽  
Finite Dimensional Hilbert Space

Schwinger approach of unitary geometry for a finite-dimensional Hilbert space is interpreted in terms of a magnonic qudit — a hypothetic elementary unit of memory of a quantum computer. The space is interpreted within the Heisenberg model for a magnetic ring, its calculational basis as the classical configuration space for a single spin deviation, treated as a Bethe pseudoparticle, and the dual basis corresponds to quasimomenta, so that the classical phase space spans the quantum algebra of observables. Effects of the Schur-Weyl duality and Bethe ansatz exact eigenstates of the Heisenberg Hamiltonian for the XXX model on properties of the magnonic qudit are presented.

scholarly journals Bethe ansatz on a quantum computer?

2021 ◽  
Vol 21 (3&4) ◽  
pp. 255-265
Author(s):  
Rafael I. Nepomechie
Keyword(s):  
Bethe Ansatz ◽  
Spin Chain ◽  
Quantum Computer ◽  
Quantum Spin ◽  
Variational Parameter ◽  
Quantum Spin Chain

We consider the feasibility of studying the anisotropic Heisenberg quantum spin chain with the Variational Quantum Eigensolver (VQE) algorithm, by treating Bethe states as variational states, and Bethe roots as variational parameters. For short chains, we construct exact one-magnon trial states that are functions of the variational parameter, and implement the VQE calculations in Qiskit. However, exact multi-magnon trial states appear to be out out of reach.

Replication of Quantum Computing towards an Unconventional Environment using QuIDE

2019 ◽  
Vol 8 (4) ◽  
pp. 9461-9464
Keyword(s):  
Quantum Computer ◽  
Source Code ◽  
Circuit Diagram ◽  
Quantum Computers ◽  
Coordinated Development ◽  
Development Environment ◽  
Integrated Development ◽  
Complexity Of Algorithms ◽  
Performance Results ◽  
Exponential Complexity

Current quantum computer simulation strategies are inefficient in simulation and their realizations are also failed to minimize those impacts of the exponential complexity for simulated quantum computations. We proposed a Quantum computer simulator model in this paper which is a coordinated Development Environment – QuIDE (Quantum Integrated Development Environment) to support the improvement of algorithm for future quantum computers. The development environment provides the circuit diagram of graphical building and flexibility of source code. Analyze the complexity of algorithms shows the performance results of the simulator and used for simulation as well as result of its deployment during simulation

scholarly journals Asset–liability modelling in the quantum era

2021 ◽  
Vol 26 ◽  
Author(s):  
T. Berry ◽  
J. Sharpe
Keyword(s):  
Quantum Mechanics ◽  
Quantum Computer ◽  
Quantum Algorithm ◽  
Capital Requirements ◽  
Quantum Computers ◽  
Investment Management ◽  
Asset Liability Management ◽  
Liability Management ◽  
Insight Into ◽  
Current Practices

Abstract This paper introduces and demonstrates the use of quantum computers for asset–liability management (ALM). A summary of historical and current practices in ALM used by actuaries is given showing how the challenges have previously been met. We give an insight into what ALM may be like in the immediate future demonstrating how quantum computers can be used for ALM. A quantum algorithm for optimising ALM calculations is presented and tested using a quantum computer. We conclude that the discovery of the strange world of quantum mechanics has the potential to create investment management efficiencies. This in turn may lead to lower capital requirements for shareholders and lower premiums and higher insured retirement incomes for policyholders.

scholarly journals Quantum Semantic Learning by Reverse Annealing of an Adiabatic Quantum Computer

2020 ◽  
pp. 2000133
Author(s):  
Lorenzo Rocutto ◽  
Claudio Destri ◽  
Enrico Prati
Keyword(s):  
Quantum Computer ◽  
Semantic Learning
Sign in / Sign up

Export Citation Format

Share Document