Deterministic Hadamard gate for microwave "cat-state" qubits in cQED

Abstract

We propose the implementation of a deterministic Hadamard gate for logical photonic qubits encoded in superpositions of coherent states of a harmonic oscillator. The proposed scheme builds on a recently introduced set of conditional operations in the strong dispersive regime of circuit QED [Z. Leghtas et al. Phys. Rev. A. {\bf 87} (2013)]. We further propose an architecture for coupling two such logical qubits and provide a universal set of deterministic quantum gates. Based on parameter values taken from the current state of the art, we give estimates for the achievable gate fidelities accounting for fundamental gate imperfections and finite coherence time due to photon loss.

10 pages, 13 figures

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Cited by in corpus (16)

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• Universal Control of an Oscillator with Dispersive Coupling to a Qubit
• Quantum Computation Based on Quantum Adiabatic Bifurcations of Kerr-Nonlinear Parametric Oscillators
• Deterministic generation of Greenberger-Horne-Zeilinger entangled states of cat-state qubits in circuit QED
• Universal controlled-phase gate with cat-state qubits in circuit QED
• Single-step implementation of a hybrid controlled-NOT gate with one superconducting qubit simultaneously controlling multiple target cat-state qubits
• Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling $n-1$ microwave photonic qubits
• One-step implementation of a multi-target-qubit controlled-phase gate with photonic qubits encoded via eigenstates of the photon-number parity operator
• Universal quantum gate with hybrid qubits in circuit quantum electrodynamics
• Construction of a qudit using Schrodinger cat states and generation of hybrid entanglement between a discrete-variable qudit and a continuous-variable qudit
• Deterministic joint remote state preparation with a non-maximally entangled channel
• Non-adiabatic holonomic quantum operations in continuous variable systems
• Sequential quantum simulation of spin chains with a single circuit QED device
• Transferring entangled states of photonic cat-state qubits in circuit QED
• One-step implementation of a multi-target-qubit controlled phase gate with cat-state qubits in circuit QED
• Transferring quantum entangled states between multiple single-photon-state qubits and coherent-state qubits in circuit QED