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International Journal of Quantum Information

ONE-STEP IMPLEMENTATION OF CONTROLLED PHASE GATES FOR THREE ATOMS TRAPPED IN SEPARATED CAVITIES

LU Dao-ming, Shi-Biao Zheng

Published Jun 1, 2012• 0 citations
Publisher

Abstract

A scheme is proposed for implementing the controlled phase gate for three atoms trapped in separated cavities coupled by optical fibers. The energy-level distances of the qubit system become unequal as a consequence of the virtual photon exchange between the atomic qubits, which allows the selective excitation of the qubit system in the symmetric Dicke subspace. The conditional phase shift is produced after a single selective Rabi oscillation and the operation is insensitive to cavity loss and fiber decay.

DOI
10.1142/s0219749912500529

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A scheme is proposed for implementing the controlled phase gate for three atoms trapped in separated cavities coupled by optical fibers. The energy-level distances of the qubit system become unequal as a consequence of the virtual photon exchange between the atomic qubits, which allows the selective excitation of the qubit system in the symmetric Dicke subspace. The conditional phase shift is produced after a single selective Rabi oscillation and the operation is insensitive to cavity loss and fiber decay.
In this paper, a scheme is presented for generation of W-type entangled states for n atoms trapped in separated cavities connected by optical fibers. The scheme only requires a single atom–cavity–fiber interaction and no classical field is needed. Due to these features, the scheme is simpler and more robust against decoherence than the previous ones. The scheme can also be used to realize quantum state transfer and controlled phase gates between qubits located at distant nodes of a quantum network.
We propose a scheme for implementing quantum gates for two atoms trapped in distant cavities connected by an optical fiber. The effective long-distance coupling between the two distributed qubits is achieved without excitation and transportation of photons through the optical fiber. Since the cavity modes and fiber mode are never populated and the atoms undergo no transitions, the gate operation is insensitive to the decoherence effect when the thermal photons in the environment are negligible. The scheme opens promising perspectives for networking quantum information processors and implementing distributed and scalable quantum computation.
We propose a one-step scheme to implement a multiqubit controlled phase gate with one qubit simultaneously controlling multiple qubits with three-level atoms at distant nodes in coupled cavity arrays. Selective qubit-qubit couplings are achieved by adiabatically eliminating the atomic excited states and photonic states, and the required phase shifts between the control qubit and any target qubit can be realized through suitable choices of the parameters of the external fields. Moreover, the effective model is robust against decoherence because neither the atoms nor the field modes are excited during the gate operation, leading to a useful step toward scalable quantum computing networks.
We propose a scheme for realizing quantum phase gates for two atoms trapped in separate cavities connected by an optical fiber. In the scheme, the atoms, cavities, and fiber mode are in resonance. In contrast to the original scheme [A. Serafini, S. Mancini, and S. Bose, Phys. Rev. Lett. 96, 010503 (2006)], the gates are performed within the null- and single-excitation subspaces in virtue of the asymmetric encoding for two atomic qubits and can function beyond the limit that the atom-cavity coupling is much smaller than the cavity-fiber coupling. We study the stability of the gates and the influences of dissipation and show that such gates are robust.
Implementation of a quantum swap\sqrt{\rm_{swap}}swap​​ gate for two distant atoms trapped in separate cavities
We propose a scheme for implementing Greenberger-Horne-Zeilinger states for three atoms trapped in distant cavities connected by optical fibers. Under the large detuning condition, the three distant atoms are coupled via four-photon processes induced by the vacuum bosonic modes and a classical field, leading to a phase shift proportional to the square of the atomic population in a certain state. During the process, the atoms do not undergo any real transition, the cavity modes and the fiber mode are only virtually excited, and the three-atom entanglement is produced in one step.