Implementation of the Five Qubit Error Correction Benchmark
arXiv:quant-ph/0101034 · doi:10.1103/PhysRevLett.86.5811
Abstract
The smallest quantum code that can correct all one-qubit errors is based on five qubits. We experimentally implemented the encoding, decoding and error-correction quantum networks using nuclear magnetic resonance on a five spin subsystem of labeled crotonic acid. The ability to correct each error was verified by tomography of the process. The use of error-correction for benchmarking quantum networks is discussed, and we infer that the fidelity achieved in our experiment is sufficient for preserving entanglement.
6 pages with figures
Cited by in corpus (114)
- Quantum Computing
- NMR Techniques for Quantum Control and Computation
- Quantum computing with trapped ions
- State preservation by repetitive error detection in a superconducting quantum circuit
- Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code
- Quantum error correction in a solid-state hybrid spin register
- Real-time quantum feedback prepares and stabilizes photon number states
- Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
- Experimental Quantum Computations on a Topologically Encoded Qubit
- Exponential suppression of bit or phase flip errors with repetitive error correction
- Implementation of a Toffoli Gate with Superconducting Circuits
- Experimental realization of quantum games on a quantum computer
- Experimental Implementation of Discrete Time Quantum Random Walk on an NMR Quantum Information Processor
- Analysis of a quantum logic device based on dipole-dipole interactions of optically trapped Rydberg atoms
- Repeated quantum error correction on a continuously encoded qubit by real-time feedback
- Experimental Implementation of the Quantum Random-Walk Algorithm
- Fault-tolerant operation of a logical qubit in a diamond quantum processor
- Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
- Experimental demonstration of topological error correction
- Benchmarking quantum control methods on a 12-qubit system
- Quantum Computing with NMR
- Beating the break-even point with a discrete-variable-encoded logical qubit
- Quantum error correction with silicon spin qubits
- Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
- Liquid State NMR as a Test-bed for Developing Quantum Control Methods
- Quantum Circuit Placement
- Information preserving structures: A general framework for quantum zero-error information
- Distributed Quantum Computation Architecture Using Semiconductor Nanophotonics
- The structure of preserved information in quantum processes
- Entanglement and correlation in anisotropic quantum spin systems
- Demonstration of Quantum Error Correction using Linear Optics
- Experimental quantum coding against photon loss error
- Five Two-Qubit Gates Are Necessary for Implementing Toffoli Gate
- Demonstration of Controlled-Phase Gates between Two Error-Correctable Photonic Qubits
- Liquid state NMR simulations of quantum many-body problems
- Introduction to Quantum Error Correction
- Deterministic correction of qubit loss
- Experimental realization of a fetching algorithm in a 7 qubit NMR quantum computer
- Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions
- Experimental implementation of encoded logical qubit operations in a perfect quantum error correcting code
- Quantum Error Correction on Linear Nearest Neighbor Qubit Arrays
- Experimental Implementation of a Concatenated Quantum Error-Correcting Code
- Demonstration of sufficient control for two rounds of quantum error correction in a solid state ensemble quantum information processor
- Overview of Quantum Error Prevention and Leakage Elimination
- Quantum communication beyond the localization length in disordered spin chains
- Block synchronization for quantum information
- Exploring Noiseless Subsystems via Nuclear Magnetic Resonance
- Introduction to NMR Quantum Information Processing
- Fault-tolerant protection of near-term trapped-ion topological qubits under realistic noise sources
- Experimental requirements for Grover's algorithm in optical quantum computation
- Optimization of Clifford Circuits
- Introduction to Quantum Error Correction and Fault Tolerance
- Quantum processing with ensembles of rare earth ions in a stoichiometric crystal
- Decoherence control in microwave cavities
- Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
- High-Fidelity Z-Measurement Error Correction of Optical Qubits
- Multi-mode architectures for noise-resilient superconducting qubits
- Is error detection helpful on IBM 5Q chips ?
- Improving the efficiency of joint remote state preparation in noisy environment with weak measurement
- Universal bound on the cardinality of local hidden variables in networks
- Experimental Quantum Error Rejection for Quantum Communication
- Limits on Efficient Computation in the Physical World
- Depolarizing channel parameter estimation using noisy initial states
- Effect of system level structure and spectral distribution of the environment on the decoherence rate
- Simple quantum error detection and correction for superconducting qubits
- Fault-Tolerant Computing with Single Qudit Encoding
- Towards Large-Scale Quantum Computation
- Gates for the Kane Quantum Computer in the Presence of Dephasing
- Quantum error correction via less noisy qubits
- Controlling NMR spin systems for quantum computation
- Quantum state engineering by steering in the presence of errors
- Improving the speed of variational quantum algorithms for quantum error correction
- High-rate quantum low-density parity-check codes assisted by reliable qubits
- "Spectral Implementation" for creating a labeled pseudo-pure state and the Bernstein-Vazirani's algorithm in a four-qubit nuclear magnetic resonance quantum processor
- Implementation of the three-qubit phase-flip error correction code with superconducting qubits
- Implementation of a three-qubit quantum error correction code in a cavity-QED setup
- Strategy for implementing stabilizer-based codes on solid-state qubits
- A Study on the Noise Threshold of Fault-tolerant Quantum Error Correction
- Quantum Error Correction with magnetic molecules
- Quantum-optical channels that output only classical states
- Quantifying the Performance of Quantum Codes
- Low-temperature environments for quantum computation and quantum simulation
- Error-correcting one-way quantum computation with global entangling gates
- Protected Solid-State Qubits
- Quantum error correction benchmarks for continuous weak parity measurements
- Experimental implementation of quantum gates through actuator qubits
- Concatenating quantum error-correcting codes with decoherence-free subspaces and vice versa
- Implementation of standard quantum error correction codes for solid-state qubits
- Rescaling interactions for quantum control
- Characterizing quantum instruments: from non-demolition measurements to quantum error correction
- A note on verification procedures for quantum noiseless subsystems
- Demonstration of a general fault-tolerant quantum error detection code for (2n+1)-qubit entangled state on IBM 16-qubit quantum computer
- Experimental Implementation of a Codeword Stabilized Quantum Code
- SpinQ Gemini: a desktop quantum computer for education and research
- Quantum error correction using weak measurements
- Dephasing-tolerant quantum sensing for transverse magnetic fields with spin qudits
- Generalized Number-Phase Lattice Encoding of a Bosonic Mode for Quantum Error Correction
- Experimental Virtual Quantum Broadcasting
- Single-qubit rotation algorithm with logarithmic Toffoli count and gate depth
- Finding maximal quantum resources
- A unification of the coding theory and OAQEC perspective on hybrid codes
- Universal graph representation of stabilizer codes
- Analytical technique for simplification of the encoder-decoder circuit for a perfect five-qubit error correction
- Continuous quantum correction on Markovian and Non-Markovian models
- Stable quantum memories with limited measurement
- Quantum correlation generation capability of experimental processes
- Interrelation of nonclassicality conditions through stabiliser group homomorphism
- Resurrection of Schrodinger Cat
- Capacity-Achieving Entanglement Purification Protocol for Pauli Dephasing Channel
- Experimental Quantum Error-Free Transmission
- Entanglement witnesses for stabilizer states and subspaces beyond qubits
- Practical implementation of Toffoli-based qubit rotation
- Optical Quantum Computing
- Creating Boolean Functions for the Five-EPR-Pair, Single-Error-Correcting Code