State preservation by repetitive error detection in a superconducting quantum circuit
arXiv:1411.7403 · doi:10.1038/nature14270
Abstract
Quantum computing becomes viable when a quantum state can be preserved from environmentally-induced error. If quantum bits (qubits) are sufficiently reliable, errors are sparse and quantum error correction (QEC) is capable of identifying and correcting them. Adding more qubits improves the preservation by guaranteeing increasingly larger clusters of errors will not cause logical failure - a key requirement for large-scale systems. Using QEC to extend the qubit lifetime remains one of the outstanding experimental challenges in quantum computing. Here, we report the protection of classical states from environmental bit-flip errors and demonstrate the suppression of these errors with increasing system size. We use a linear array of nine qubits, which is a natural precursor of the two-dimensional surface code QEC scheme, and track errors as they occur by repeatedly performing projective quantum non-demolition (QND) parity measurements. Relative to a single physical qubit, we reduce the failure rate in retrieving an input state by a factor of 2.7 for five qubits and a factor of 8.5 for nine qubits after eight cycles. Additionally, we tomographically verify preservation of the non-classical Greenberger-Horne-Zeilinger (GHZ) state. The successful suppression of environmentally-induced errors strongly motivates further research into the many exciting challenges associated with building a large-scale superconducting quantum computer.
Main text 5 pages, 4 figures. Supplemental 25 pages, 31 figures
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- Remote Cross-resonance Gate between Superconducting Fixed-frequency Qubits
- The superconducting circuit companion -- an introduction with worked examples
- Direct Characterization of Quantum Dynamics with Noisy Ancilla
- Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
- Improved superconducting qubit state readout by path interference
- The role of quantum measurements in physical processes and protocols
- Measurement based estimator scheme for continuous quantum error correction
- Quantum error correction using weak measurements
- Initial-state-dependent quantum speed limit for dissipative state preparation: Framework and optimization
- Robustness-optimized quantum error correction
- Exact results on finite size corrections for surface codes tailored to biased noise
- Discrimination of correlated and entangling quantum channels with selective process tomography
- Generalized Number-Phase Lattice Encoding of a Bosonic Mode for Quantum Error Correction
- Error correcting power of small topological codes
- Localizing genuine multiparty entanglement in noisy stabilizer states
- An introduction to Fault-tolerant Quantum Computing
- Verification of a resetting protocol for an uncontrolled superconducting qubit
- Optically Controlled Entangling Gates in Randomly Doped Silicon
- Sequence of penalties method to study excited states using VQE
- High-Density Qubit Wiring: Pin-Chip Bonding for Fully Vertical Interconnects
- One-step implementation of nonadiabatic geometric fSim gate in superconducting circuits
- Reconstruction Approach to Quantum Dynamics of Bosonic Systems
- Nonreciprocal microwave transmission based on Gebhard-Ruckenstein hopping
- Noise suppression and long-range exchange coupling for gallium arsenide spin qubits
- Software-Hardware Co-Optimization for Computational Chemistry on Superconducting Quantum Processors
- Thermal entanglement of superconducting qubits for arbitrary interaction strength
- Low power, fast and broadband ESR quantum control using a stripline resonator
- Towards Efficient Superconducting Quantum Processor Architecture Design
- The two-qubit amplitude damping channel: characterization using quantum stabilizer codes
- Long-range Ising interactions mediated by fields: probing the renormalisation of sound in crystals of trapped ions
- Tunable superconducting two-chip lumped element resonator
- Observation of quantum nonlocality in Greenberger-Horne-Zeilinger entanglement on a silicon chip
- Full Characterization of the Depth Overhead for Quantum Circuit Compilation with Arbitrary Qubit Connectivity Constraint
- Methodology for bus layout for topological quantum error correcting codes
- The role of interparticle interaction and environmental coupling in a two-particle open quantum system
- Nonlinear Parity Readout with a Microwave Photodetector
- Practical quantum error correction with the XZZX code and Kerr-cat qubits
- 1D Error Correcting Code for Majorana Qubits
- Unexpectedly allowed transition in two inductively coupled transmons
- High Quality Stepped-Impedance Resonators Suitable for Circuit-QED Measurement of Superconducting Artificial Atoms
- Full control of superconducting qubits with combined on-chip microwave and flux lines
- Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
- Improving Performance of an Analog Electronic Device Using Quantum Error Correction
- Cryogenic microwave source based on nanoscale tunnel junctions
- Transversal CNOT gate with multi-cycle error correction
- Mitigating cosmic ray-like correlated events with a modular quantum processor
- A practical guide for building superconducting quantum devices
- Excitation of the collective states in a three-qubit system
- Design of Quantum Annealing Machine for Prime Factoring
- Exploiting Different Levels of Parallelism in the Quantum Control Microarchitecture for Superconducting Qubits
- Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits
- Break-even point of the quantum repetition code
- Generation of time-frequency entangled photon pairs propagating in separate waveguides in circuit QED setup
- Optimal and robust error filtration for quantum information processing
- Phonon-blocked junction refrigerators for cryogenic quantum devices
- Relaxation of Rabi Dynamics in a Superconducting Multiple-Qubit Circuit
- Dissipation-assisted quantum correlations in coupled qubits
- Characterization of multi-level dynamics and decoherence in a high-anharmonicity capacitively shunted flux circuit
- Performance-centric roadmap for building a superconducting quantum computer
- Sampling-based quasiprobability simulation for fault-tolerant quantum error correction on the surface codes under coherent noise
- Preparing topologically ordered states by Hamiltonian interpolation
- Quantum state transfer and controlled-phase gate on one-dimensional superconducting resonators assisted by a quantum bus
- AccQOC: Accelerating Quantum Optimal Control Based Pulse Generation
- Realization of Surface Code Quantum Memory on Systems with Always-On Interactions
- Global estimates of errors in quantum computation by the Feynman-Vernon formalism
- Logical operations with a dynamical qubit in Floquet-Bacon-Shor code
- Work-sharing of qubits in topological error corrections
- Incoherent Approximation of Leakage in Quantum Error Correction
- Beating the 3 dB Limit for Intracavity Squeezing and Its Application to Nondemolition Qubit Readout
- Spin-augmented observables for efficient photonic quantum error correction
- Computational modeling of decay and hybridization in superconducting circuits
- Relaxation times do not capture logical qubit dynamics
- Bias-preserving computation with the bit-flip code
- From Quantum Optics to Quantum Technologies
- Maximizing the nondemolition nature of a quantum measurement via an adaptive readout protocol
- Review of Superconducting Qubit Devices and Their Large-Scale Integration
- A switching approach for perfect state transfer over a scalable and routing enabled network architecture with superconducting qubits
- Quantum repetition codes as building blocks of large period discrete time crystals
- Resonant Coupling Parameter Estimation with Superconducting Qubits
- Soft information decoding with superconducting qubits