Simulating noisy quantum protocols with quantum trajectories

Journal Article · Tue Jun 01 04:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.062317· OSTI ID:20643742

Carlo, Gabriel G; Benenti, Giuliano; Casati, Giulio; Mejia-Monasterio, Carlos ^[1]

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1. Center for Nonlinear and Complex Systems, Universita degli Studi dell'Insubria and Istituto Nazionale per la Fisica della Materia, Unita di Como, Via Valleggio 11, 22100 Como (Italy)

The theory of quantum trajectories is applied to simulate the effects of quantum noise sources induced by the environment on quantum information protocols. We study two models that generalize single qubit noise channels like amplitude damping and phase flip to the many-qubit situation. We calculate the fidelity of quantum information transmission through a chaotic channel using the teleportation scheme with different environments. In this example, we analyze the role played by the kind of collective noise suffered by the quantum processor during its operation. We also investigate the stability of a quantum algorithm simulating the quantum dynamics of a paradigmatic model of chaos, the baker's map. Our results demonstrate that, using the quantum trajectories approach, we are able to simulate quantum protocols in the presence of noise and with large system sizes of more than 20 qubits.

• OSTI ID: 20643742
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ALGORITHMS
AMPLITUDES
CHAOS THEORY
DAMPING
DATA TRANSMISSION
INFORMATION THEORY
MAPS
NOISE
OPERATION
QUANTUM MECHANICS
SIMULATION
STABILITY