Simulating noisy quantum protocols with quantum trajectories

Abstract

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.

11 pages, 7 figs

References in corpus (17)

• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Decoherence, einselection, and the quantum origins of the classical
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• A simple model of quantum trajectories
• Fidelity of Quantum Teleportation through Noisy Channels
• Local environment can enhance fidelity of quantum teleportation
• Optimal teleportation with a mixed state of two qubits
• Using a quantum computer to investigate quantum chaos
• Efficient Quantum Computing of Complex Dynamics
• Quantum state diffusion, localization and computation
• Experimental Implementation of the Quantum Baker's Map
• Exponential Gain in Quantum Computing of Quantum Chaos and Localization
• Entropy production and wave packet dynamics in the Fock space of closed chaotic many-body systems
• On the origin of noisy states whose teleportation fidelity can be enhanced through dissipation
• Teleportation in a noisy environment: a quantum trajectories approach
• Dynamical localization simulated on a few qubits quantum computer
• Effects of noise on quantum error correction algorithms

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• Teleportation of qubit states through dissipative channels: Conditions for surpassing the no-cloning limit
• Enhancement of transmission rates in quantum memory channels with damping
• Conservative chaotic map as a model of quantum many-body environment
• Heat Transport in Quantum Spin Chains: Stochastic Baths vs Quantum Trajectories
• Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
• Noise models for superoperators in the chord representation
• Complete Parameterizations of Diffusive Quantum Monitorings
• Noise gates for decoherent quantum circuits
• Dissipative decoherence in the Grover algorithm
• Quantum chaos algorithms and dissipative decoherence with quantum trajectories
• Simulating noisy quantum channels via quantum state preparation algorithms
• Effects of imperfections for Shor's factorization algorithm
• On the environmental stability of quantum chaotic ratchets
• Entanglement entropy scaling of noisy random quantum circuits in two dimensions
• Classical counterparts of quantum attractors in generic dissipative systems
• Stable classical structures in dissipative quantum chaotic systems
• Emergence of classicality in small number entangled systems
• Robustness of the projected squeezed state protocol
• Scaling of Computational Order Parameters in Rydberg Atom Graph States