Quantum Computing in the Presence of Detected Spontaneous Emission

Abstract

A new method for quantum computation in the presence of detected spontaneous emission is proposed. The method combines strong and fast (dynamical decoupling) pulses and a quantum error correcting code that encodes $n$ logical qubits into only $n+1$ physical qubits. Universal fault-tolerant quantum computation is shown to be possible in this scheme using Hamiltonians relevant to a range of promising proposals for the physical implementation of quantum computers.

7 pages, no figures. This version corrects an error in the description of spontaneous emission in the quantum jumps picture. As a consequence the error correcting code and some aspects of the preparation, computation, and recovery operations have been modified. The main conclusions of the published paper remain intact. An erratum will be published shortly in Phys. Rev. A, detailing all the corrections required in the published paper. The present version includes all these corrections in the body of the paper

References in corpus (9)

• Manipulating the Quantum State of an Electrical Circuit
• Measurements continuous in time and a posteriori states in quantum
• Scalable quantum computing with Josephson charge qubits
• Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries
• Reducing Constraints on Quantum Computer Design by Encoded Selective Recoupling
• Combined encoding and decoupling solution to problems of decoherence and design in solid-state quantum computing
• Scalable solid-state quantum processor using subradiant two-atom states
• Qubits as Parafermions
• Universal Fault-Tolerant Quantum Computation in the Presence of Spontaneous Emission and Collective Dephasing

Cited by in corpus (24)

• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
• Random decoupling schemes for quantum dynamical control and error suppression
• Dynamical decoupling for superconducting qubits: a performance survey
• Preserving qubit coherence by dynamical decoupling
• Combining dynamical decoupling with fault-tolerant quantum computation
• Controlling quantum systems by embedded dynamical decoupling schemes
• Overview of Quantum Error Prevention and Leakage Elimination
• Decoherence control: Universal protection of two-qubit states and two-qubit gates using continuous driving fields
• Optimally combining dynamical decoupling and quantum error correction
• Moyal products -- a new perspective on quasi-hermitian quantum mechanics
• Optimized pulses for the control of uncertain qubits
• Subspace Confinement: How good is your qubit?
• Quantum Error Correction in the Zeno Regime
• Continuous Quantum Error Correction Through Local Operations
• Experimentally Realizable C-NOT Gate in a Flux Qubit/Resonator System
• Dynamically Generated Decoherence-Free Subspaces and Subsystems on Superconducting Qubits
• Reversal of Photon-Scattering Errors in Atomic Qubits
• Possibility of Inhomogeneous Coupling Leading to Decoherence in an Electromagnetically-Induced-Transparency Quantum-Memory Process
• Concatenating quantum error-correcting codes with decoherence-free subspaces and vice versa
• Quantitative Treatment of Decoherence
• Efficient Chromatic-Number-Based Multi-Qubit Decoherence and Crosstalk Suppression
• Demonstration of High-Fidelity Entangled Logical Qubits using Transmons
• Suppressing decoherence of quantum algorithms by jump codes