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

Ajoy, Ashok ; Rao, Rama Koteswara ; Kumar, Anil ; Rungta, Pranaw (2012) Algorithmic approach to simulate Hamiltonian dynamics and an NMR simulation of quantum state transfer Physical Review A, 85 (3). 030303_1-030303_4. ISSN 1050-2947

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

Related URL: http://dx.doi.org/10.1103/PhysRevA.85.030303

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:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:95810
Deposited On:26 Nov 2012 07:27
Last Modified:26 Nov 2012 07:27

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