Compressed quantum simulation of the Ising model

Abstract

In [R. Jozsa, B. Kraus, A. Miyake, J. Watrous, Proc. R. Soc. A {\bf 466}, 809-830 (2010)] it has been shown that a match gate circuit running on n qubits can be compressed to a universal quantum computation on \log(n)+3 qubits. Here, we show how this compression can be employed to simulate the Ising interaction of a 1D--chain consisting out of n qubits using a universal quantum computer running on log(n) qubits. We demonstrate how the adiabatic evolution can be realized on this exponentially smaller system and how the magnetization, which shows a quantum phase transition, can be measured.

6 pages

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Scalable multi-particle entanglement of trapped ions
• 14-qubit entanglement: creation and coherence
• Universal digital quantum simulation with trapped ions
• Matchgates and classical simulation of quantum circuits
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• Compressed quantum computation using the IBM Quantum Experience
• The Bethe Ansatz as a Quantum Circuit
• Compressed Simulation of evolutions of the XY-model
• Compressed quantum metrology for the Ising Hamiltonian
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• Solving Free Fermion Problems on a Quantum Computer
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• Maximal Entanglement: Applications in Quantum Information and Particle Physics
• The Computational Power of Non-interacting Particles