Quantum simulation of classical thermal states

Details Quantum simulation of classical thermal states Quantum simulation of classical thermal states

2011-06-20

arxiv.org/abs/1106.4017v1

Phys. Rev. Lett. 107, 170402 (2011)

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.107.170402

We establish a connection between ground states of local quantum Hamiltonians and thermal states of classical spin systems. For any discrete classical statistical mechanical model in any spatial dimension, we find an associated quantum state such that the reduced density operator behaves as the thermal state of the classical system. We show that all these quantum states are unique ground states of a universal 5-body local quantum Hamiltonian acting on a (polynomially enlarged) system of qubits arranged on a 2D lattice. The only free parameters of the quantum Hamiltonian are coupling strengthes of two-body interactions, which allow one to choose the type and dimension of the classical model as well as the interaction strength and temperature.

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