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Algorithmic approach to simulate Hamiltonian dynamics and an NMR simulation of quantum state transfer

Ajoy, Ashok and Rao, Rama Koteswara and Kumar, Anil and Rungta, Pranaw (2012) Algorithmic approach to simulate Hamiltonian dynamics and an NMR simulation of quantum state transfer. In: Physical Review A, 85 (3).

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Official URL: http://pra.aps.org/abstract/PRA/v85/i3/e030303

Abstract

We propose an iterative algorithm to simulate the dynamics generated by any n-qubit Hamiltonian. The simulation entails decomposing the unitary time evolution operator U (unitary) into a product of different time-step unitaries. The algorithm product-decomposes U in a chosen operator basis by identifying a certain symmetry of U that is intimately related to the number of gates in the decomposition. We illustrate the algorithm by first obtaining a polynomial decomposition in the Pauli basis of the n-qubit quantum state transfer unitary by Di Franco et al. [Phys. Rev. Lett. 101, 230502 (2008)] that transports quantum information from one end of a spin chain to the other, and then implement it in nuclear magnetic resonance to demonstrate that the decomposition is experimentally viable. We further experimentally test the resilience of the state transfer to static errors in the coupling parameters of the simulated Hamiltonian. This is done by decomposing and simulating the corresponding imperfect unitaries.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to The American Physical Society.
Department/Centre: Division of Chemical Sciences > NMR Research Centre (Formerly SIF)
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 13 Apr 2012 10:47
Last Modified: 13 Apr 2012 10:47
URI: http://eprints.iisc.ernet.in/id/eprint/44251

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