Simulating quantum systems on a quantum computer

C Zalka - Proceedings of the Royal Society of London …, 1998 - royalsocietypublishing.org
We show that the time evolution of the wave function of a quantum–mechanical many–
particle system can be simulated precisely and efficiently on a quantum computer. The time …

Efficient simulation of quantum systems by quantum computers

C Zalka - Fortschritte der Physik: Progress of Physics, 1998 - Wiley Online Library
We show that the time evolution of the wave function of a quantum mechanical many particle
system can be implemented very efficiently on a quantum computer. The computational cost …

[PDF][PDF] Simulations of many-body quantum systems by a quantum computer

S Wiesner - arxiv preprint quant-ph/9603028, 1996 - arxiv.org
arxiv:quant-ph/9603028v1 26 Mar 1996 Page 1 arxiv:quant-ph/9603028v1 26 Mar 1996
Simulations of Many-Body Quantum Systems by a Quantum Computer Stephen Wiesner …

Quantum simulation of the single-particle Schrödinger equation

G Benenti, G Strini - American Journal of Physics, 2008 - pubs.aip.org
The nature of a quantum computer is described in the concrete context of a quantum
simulator of the single-particle Schrödinger equation. We show that a register of 6–10 qubits …

Simulating quantum mechanics on a quantum computer

BM Boghosian, W Taylor IV - Physica D: Nonlinear Phenomena, 1998 - Elsevier
Algorithms are described for efficiently simulating quantum mechanical systems on quantum
computers. A class of algorithms for simulating the Schrödinger equation for interacting …

Quantum simulations of physics problems

R Somma, G Ortiz, E Knill… - International Journal of …, 2003 - World Scientific
If a large Quantum Computer (QC) existed today, what type of physical problems could we
efficiently simulate on it that we could not efficiently simulate on a classical Turing machine …

Quantum algorithms for fermionic simulations

G Ortiz, JE Gubernatis, E Knill, R Laflamme - Physical Review A, 2001 - APS
We investigate the simulation of fermionic systems on a quantum computer. We show in
detail how quantum computers avoid the dynamical sign problem present in classical …

Universal quantum simulators

S Lloyd - Science, 1996 - science.org
Universal Quantum Simulators Page 1 33. G. Felsenfeld et al., J. Am. Chem. Soc. 79, 2023 (1957);
AG Letai et al., Biochemistry 27, 9108 (1988). 34. M. Riley, Microbiol. Rev. 57, 862 (1993) …

Quantum simulation of real-space dynamics

AM Childs, J Leng, T Li, JP Liu, C Zhang - Quantum, 2022 - quantum-journal.org
Quantum simulation is a prominent application of quantum computers. While there is
extensive previous work on simulating finite-dimensional systems, less is known about …

Preparation of many-body states for quantum simulation

NJ Ward, I Kassal, A Aspuru-Guzik - The Journal of chemical physics, 2009 - pubs.aip.org
While quantum computers are capable of simulating many quantum systems efficiently, the
simulation algorithms must begin with the preparation of an appropriate initial state. We …