Toward a more economical cluster state quantum computation

Abstract

We assess the effects of an intrinsic model for imperfections in cluster states by introducing {\it noisy cluster states} and characterizing their role in the one-way model for quantum computation. The action of individual dephasing channels on cluster qubits is also studied. We show that the effect of non-idealities is limited by using small clusters, which requires compact schemes for computation. In light of this, we address an experimentally realizable four-qubit linear cluster which simulates a controlled-{\sf NOT} ({\sf CNOT}).

4 pages, 2 figures, RevTeX4; proposal for experimental setup included

References in corpus (7)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Experimental One-Way Quantum Computing
• Quantum Computing with Very Noisy Devices
• Resource-efficient linear optical quantum computation
• Spin dynamics for bosons in an optical lattice
• Quantum information processing with noisy cluster states
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Cited by in corpus (9)

• Generation of quantum-dot cluster states with superconducting transmission line resonator
• Efficient quantum circuits for one-way quantum computing
• One-step preparation of cluster states in quantum dot molecules
• Control-limited perfect state transfer, quantum stochastic resonance and many-body entangling gate in imperfect qubit registers
• Phase map decompositions for unitaries
• The Measurement Calculus
• Quantifying Entanglement in Cluster States Built with Error-Prone Interactions
• Redundant string symmetry-based error correction: Demonstrations on quantum devices
• Discrete quantum Fourier transform in coupled semiconductor double quantum dot molecules