Implementation of holonomic quantum computation through engineering and manipulating environment

Abstract

We consider an atom-field coupled system, in which two pairs of four-level atoms are respectively driven by laser fields and trapped in two distant cavities that are connected by an optical fiber. First, we show that an effective squeezing reservoir can be engineered under appropriate conditions. Then, we show that a two-qubit geometric CPHASE gate between the atoms in the two cavities can be implemented through adiabatically manipulating the engineered reservoir along a closed loop. This scheme that combines engineering environment with decoherence-free space and geometric phase quantum computation together has the remarkable feature: a CPHASE gate with arbitrary phase shift is implemented by simply changing the strength and relative phase of the driving fields.

4 pages, 2 figures; v2, We have maken considerable changes. New model to engineer effective reservoir without broadband squeezing light is proposed, which makes the scheme more practical. Main results are not changed; v3, accepted for PRA. Change style to PRA

References in corpus (15)

• Decoherence Free Subspaces for Quantum Computation
• Noiseless Quantum Codes
• Holonomic Quantum Computation
• Geometric Manipulation of Trapped Ions for Quantum Computation
• Ultra-high-Q toroidal microresonators for cavity quantum electrodynamics
• Preserving coherence in quantum computation by pairing quantum bits
• Distributed quantum computation via optical fibres
• Quantum Networking with Optical Fibres
• Multiatom and resonant interaction scheme for quantum state transfer and logical gates between two remote cavities via an optical fiber
• Geometric quantum gates robust against stochastic control errors
• Holonomic quantum computation in decoherence-free subspaces
• Quantum Communication with Phantom Photons
• Entanglement and entropy engineering of atomic two-qubit states
• Geometric phase induced by a cyclically evolving squeezed vacuum reservoir
• Coherent evolution via reservoir driven holonomy

Cited by in corpus (17)

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• Holonomic quantum control with continuous variable systems
• One-step implementation of multi-qubit conditional phase gating with nitrogen-vacancy centers coupled to a high-Q silica microsphere cavity
• Nonadiabatic geometric quantum computation with parametrically tunable coupling
• Steady-State Entanglement for Distant Atoms by Dissipation in Coupled Cavities
• Dissipative preparation of entangled states between two spatially separated nitrogen-vacancy centers
• Engineering arbitrary pure and mixed quantum states
• Quantum network of superconducting qubits through opto-mechanical interface
• Nonadiabatic coherent evolution of two-level systems under spontaneous decay
• Fast and high-fidelity generation of steady-state entanglement using pulse modulation and parametric amplification
• Time-dependent Decoherence-Free Subspace
• Cooling a Mechanical Resonator to Quantum Regime by heating it
• Controlling Entanglement Dynamics by Choosing Appropriate Ratio between Cavity-Fiber Coupling and Atom-Cavity Coupling
• Controllable operation for distant qubits in a two-dimensional quantum network
• Decoherence-free evolution of time-dependent superposition states of two-level systems and thermal effects
• Implementation of a two-qubit controlled-U gate based on unconventional geometric phase with a constant gating time
• Geometric and holonomic quantum computation