Error-correcting one-way quantum computation with global entangling gates
arXiv:0908.0768 · doi:10.1103/PhysRevA.80.032312
Abstract
We present an approach to one-way quantum computation (1WQC) that can compensate for single-qubit errors, by encoding the logical information residing on physical qubits into five-qubit error-correcting code states. A logical two-qubit cluster state that is the fundamental resource for encoded quantum teleportation is then described by a graph state containing ten vertices with constant degree seven. Universal 1WQC that incorporates error correction requires only multiple copies of this logical two-qubit state and a logical four-qubit linear cluster state, which are prepared only just in advance of their use in order to minimize the accumulation of errors. We suggest how to implement this approach in systems characterized by qubits in regular two-dimensional lattices for which entangling gates are generically global operations, such as atoms in optical lattices, quantum dots, or superconducting qubits.
Submitted to PRA
References in corpus (60)
- Fault-tolerant quantum computation by anyons
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Mixed State Entanglement and Quantum Error Correction
- Good Quantum Error-Correcting Codes Exist
- Persistent entanglement in arrays of interacting particles
- Measurement-based quantum computation with cluster states
- A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
- Quantum Computing with Very Noisy Devices
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- Fault-tolerant quantum computation with high threshold in two dimensions
- Quantum Error Correction and Orthogonal Geometry
- Entanglement of atoms via cold controlled collisions
- Topological fault-tolerance in cluster state quantum computation
- Towards fault-tolerant quantum computing with trapped ions
- Coherent transport of neutral atoms in spin-dependent optical lattice potentials
- The Mott insulator transition in two dimensions
- A fault-tolerant one-way quantum computer
- Overhead and noise threshold of fault-tolerant quantum error correction
- Relaxation, dephasing, and quantum control of electron spins in double quantum dots
- Fault-Tolerant Error Correction with Efficient Quantum Codes
- A neutral atom quantum register
- Universal resources for measurement-based quantum computation
- Multiparticle entanglement purification for graph states
- Implementation of the Five Qubit Error Correction Benchmark
- Quantum computations with atoms in optical lattices: marker qubits and molecular interactions
- Fault-tolerant quantum computation with cluster states
- Observation of Phase Defects in Quasi-2D Bose-Einstein Condensates
- Quantum computing with neutral atoms
- Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
- Quantum Error Correcting Codes Using Qudit Graph States
- Quantum Bit Regeneration
- Diffraction limited optics for single atom manipulation
- Architectural design for a topological cluster state quantum computer
- Superfluid to Mott insulator transition in one, two, and three dimensions
- Producing cluster states in charge qubits and flux qubits
- Efficient one-step generation of large cluster states with solid-state circuits
- Spin dynamics for bosons in an optical lattice
- Generation of quantum-dot cluster states with superconducting transmission line resonator
- Computation by measurements: a unifying picture
- Manipulation of Single Neutral Atoms in Optical Lattices
- Cluster States From Heisenberg Interaction
- A scalable, high-speed measurement-based quantum computer using trapped ions
- Two-dimensional cluster-state preparation with linear ion traps
- Quantum Dot Cluster State Computing with Encoded Qubits
- Simple proof of fault tolerance in the graph-state model
- Addressing individual atoms in optical lattices with standing-wave driving fields
- One-step preparation of cluster states in quantum dot molecules
- Graph State Preparation and Cluster Computation with Global Addressing of Optical Lattices
- Scalable Error Correction in Distributed Ion Trap Computers
- Quantum information processing with noisy cluster states
- Purification of large bicolorable graph states
- Preparation of Decoherence Free Cluster States with Optical Superlattices
- Single-qubit rotations in 2D optical lattices with multi-qubit addressing
- Edge Local Complementation and Equivalence of Binary Linear Codes
- One-way quantum computing in a decoherence-free subspace
- A direct approach to fault-tolerance in measurement-based quantum computation via teleportation
- One-way quantum computing in optical lattices with many atom addressing
- Initializing a Quantum Register from Mott Insulator States in Optical Lattices
- Perfect Cluster States from Imperfect Global Entanglement
- Fault-tolerant quantum computation in concatenation of verified cluster states
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- Topological One-Way Quantum Computation on Verified Logical Cluster States
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- Cluster-based architecture for fault-tolerant quantum computation
- Edge local complementation for logical cluster states
- Generating and verifying graph states for fault-tolerant topological measurement-based quantum computing in 2D optical lattices