Fast simulation of a quantum phase transition in an ion-trap realisable unitary map

Details Fast simulation of a quantum phase transition in an ion-trap realisable unitary map Fast simulation of a quantum phase transition in an ion-trap realisable unitary map

2004-01-22

arxiv.org/abs/quant-ph/0401137v1

Phys. Rev. A 71, 012335 (2005)

Physics

Quantum Physics

12 pages, 6 figures

Scientific paper

10.1103/PhysRevA.71.012335

We demonstrate a method of exploring the quantum critical point of the Ising universality class using unitary maps that have recently been demonstrated in ion trap quantum gates. We reverse the idea with which Feynman conceived quantum computing, and ask whether a realisable simulation corresponds to a physical system. We proceed to show that a specific simulation (a unitary map) is physically equivalent to a Hamiltonian that belongs to the same universality class as the transverse Ising Hamiltonian. We present experimental signatures, and numerical simulation for these in the six-qubit case.

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