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Chinese Physics B

Controlled phase gates based on two nonidentical quantum dots trapped in separate cavities

Xiaoxia Wang, Jian‐Qi Zhang, Ya-Fei Yu, Zhi-Ming Zhang

Published Nov 1, 2011• 2 citations
Publisher

Abstract

We propose a scheme for realizing two-qubit controlled phase gates on two nonidentical quantum dots trapped in separate cavities. In our scheme, each dot simultaneously interacts with one highly detuned cavity mode and two strong driven classical fields. During the gate operation, the quantum dots undergo no transition, while the system can acquire different phases conditional on different states of the quantum dots. With the application of the single-qubit operations, two-qubit controlled phase gates can be realized.

DOI
10.1088/1674-1056/20/11/110306

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We propose a scheme for realizing two-qubit controlled phase gates on two nonidentical quantum dots trapped in separate cavities. In our scheme, each dot simultaneously interacts with one highly detuned cavity mode and two strong driven classical fields. During the gate operation, the quantum dots undergo no transition, while the system can acquire different phases conditional on different states of the quantum dots. With the application of the single-qubit operations, two-qubit controlled phase gates can be realized.
We propose a scheme for realizing a two-qubit controlled phase gate via an unconventional geometric phase with two nonidentical and spatially separated quantum dots (QDs) trapped in a photonic crystal cavity. In this system, the QDs simultaneously interact with a large detuned cavity mode and strong driving classical light fields. During the gate operation, the QDs undergo no transitions, while the cavity mode is displaced along a closed path in the phase space. In this way, the system can acquire different unconventional geometric phases conditional upon the states of the QDs, and a two-qubit entangling gate can be constructed.
We propose a scheme to implement a three-qubit controlled phase gate with one control qubit and two target qubits using quantum dots (QDs) in two coupled photonic crystal (PC) cavities A and B. In the scheme, three QDs are embedded in two coupled photonic crystal cavities and the transitions between the levels are only coupled to the cavity modes without being driven by the classical laser fields. We investigate the dynamics of the system consisting of resonant and off-resonant couplings between the cavity modes and QDs and solve the time-dependent Schrodinger equation analytically. The results show that a three-qubit controlled phase gate can be directly implemented using one operational step, by exchanging a single photon between the PC cavities A and B. This scheme greatly simplifies the gate operation in experiments.