Bosonic quantum error correction codes in superconducting quantum circuits
arXiv:2010.08699 · doi:10.1016/j.fmre.2020.12.006
Abstract
Quantum information is vulnerable to environmental noise and experimental imperfections, hindering the reliability of practical quantum information processors. Therefore, quantum error correction (QEC) that can protect quantum information against noise is vital for universal and scalable quantum computation. Among many different experimental platforms, superconducting quantum circuits and bosonic encodings in superconducting microwave modes are appealing for their unprecedented potential in QEC. During the last few years, bosonic QEC is demonstrated to reach the break-even point, i.e. the lifetime of a logical qubit is enhanced to exceed that of any individual components composing the experimental system. Beyond that, universal gate sets and fault-tolerant operations on the bosonic codes are also realized, pushing quantum information processing towards the QEC era. In this article, we review the recent progress of the bosonic codes, including the Gottesman-Kitaev-Preskill codes, cat codes, and binomial codes, and discuss the opportunities of bosonic codes in various quantum applications, ranging from fault-tolerant quantum computation to quantum metrology. We also summarize the challenges associated with the bosonic codes and provide an outlook for the potential research directions in the long terms.
arXiv comment23 pages, 10 figures, 1 table
References in corpus (99)
- Quantum Computing in the NISQ era and beyond
- The Quantum Internet
- Quantum sensing
- Advances in Quantum Metrology
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Gaussian Quantum Information
- Surface codes: Towards practical large-scale quantum computation
- Quantum-enhanced measurements: beating the standard quantum limit
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Quantum metrology
- A Quantum Engineer's Guide to Superconducting Qubits
- Quantum computational chemistry
- Encoding a qubit in an oscillator
- Superconducting Qubits: Current State of Play
- Error mitigation for short-depth quantum circuits
- Quantum Error Correction for Quantum Memories
- Atomic physics and quantum optics using superconducting circuits
- Microwave photonics with superconducting quantum circuits
- Multiple Particle Interference and Quantum Error Correction
- Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
- Cavity-based quantum networks with single atoms and optical photons
- Reliable Quantum Computers
- Ground-to-satellite quantum teleportation
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- State preservation by repetitive error detection in a superconducting quantum circuit
- Quantum Error Correction for Beginners
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Roads towards fault-tolerant universal quantum computation
- Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
- Observation of quantum state collapse and revival due to the single-photon Kerr effect
- Confining the state of light to a quantum manifold by engineered two-photon loss
- The Kerr-Cat Qubit: Stabilization, Readout, and Gates
- Longer-Baseline Telescopes Using Quantum Repeaters
- Quantum error correction of a qubit encoded in grid states of an oscillator
- Universal control and error correction in multi-qubit spin registers in diamond
- Experimental Quantum Computations on a Topologically Encoded Qubit
- Light-matter interactions with photonic quasiparticles
- Encoding a qubit in a trapped-ion mechanical oscillator
- Repeated Quantum Error Detection in a Surface Code
- Quantum Error Correction: An Introductory Guide
- Distributed quantum sensing in a continuous variable entangled network
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
- Performance and structure of single-mode bosonic codes
- Second order gradient ascent pulse engineering
- Hardware-efficient autonomous quantum error correction
- Demonstration of quantum error correction and universal gate set on a binomial bosonic logical qubit
- Deterministic teleportation of a quantum gate between two logical qubits
- Tracking Photon Jumps with Repeated Quantum Non-Demolition Parity Measurements
- Achieving the Heisenberg limit in quantum metrology using quantum error correction
- Repeated quantum error correction on a continuously encoded qubit by real-time feedback
- Exponential suppression of bit-flips in a qubit encoded in an oscillator
- On-demand quantum state transfer and entanglement between remote microwave cavity memories
- Topological quantum computing with a very noisy network and local error rates approaching one percent
- Distributed Quantum Sensing Using Continuous-Variable Multipartite Entanglement
- Approximate quantum error correction can lead to better codes
- Bosonic Quantum Codes for Amplitude Damping
- Cavity State Manipulation Using Photon-Number Selective Phase Gates
- Ultrahigh Error Threshold for Surface Codes with Biased Noise
- Reaching 10 ms single photon lifetimes for superconducting aluminum cavities
- Bias-preserving gates with stabilized cat qubits
- Challenges and Opportunities of Near-Term Quantum Computing Systems
- Universal Control of an Oscillator with Dispersive Coupling to a Qubit
- Fault-tolerant bosonic quantum error correction with the surface-GKP code
- Hardware-efficient quantum random access memory with hybrid quantum acoustic systems
- Fault-tolerant detection of a quantum error
- Improved quantum capacity bounds of Gaussian loss channels and achievable rates with Gottesman-Kitaev-Preskill codes
- Entangling Bosonic Modes via an Engineered Exchange Interaction
- Towards Scalable Bosonic Quantum Error Correction
- Quantum-enhanced sensing of a mechanical oscillator
- Schrodinger's catapult: Launching multiphoton quantum states from a microwave cavity memory
- Random access quantum information processors
- Encoding a Qubit into a Cavity Mode in Circuit-QED using Phase Estimation
- Cavity piezo-mechanics for superconducting-nanophotonic quantum interface
- A CNOT gate between multiphoton qubits encoded in two cavities
- Fault-tolerant thresholds for the surface code in excess of 5% under biased noise
- Error-transparent operations on a logical qubit protected by quantum error correction
- Cat codes with optimal decoherence suppression for a lossy bosonic channel
- Using concatenated quantum codes for universal fault-tolerant quantum gates
- Error-corrected gates on an encoded qubit
- Pair-cat codes: autonomous error-correction with low-order nonlinearity
- Heisenberg limited single-mode quantum metrology
- Demonstration of Controlled-Phase Gates between Two Error-Correctable Photonic Qubits
- Quantum Channel Construction with Circuit Quantum Electrodynamics
- Converting quasiclassical states into arbitrary Fock state superpositions in a superconducting cavity
- Path-Independent Quantum Gates with Noisy Ancilla
- Millimeter-Wave Four-Wave Mixing via Kinetic Inductance for Quantum Devices
- Degeneracy-preserving quantum non-demolition measurement of parity-type observables for cat-qubits
- Qudit-Basis Universal Quantum Computation using Interactions
- A two-fold quantum delayed-choice experiment in a superconducting circuit
- Error-transparent quantum gates for small logical qubit architectures
- Simulating Molecular Spectroscopy with Circuit Quantum Electrodynamics
- Quantum-enhanced radiometry via approximate quantum error correction
- Witnessing quantum resource conversion within deterministic quantum computation using one pure superconducting qubit
- Experimental implementation of a Raman-assisted six-quanta process
- Error-transparent evolution: the ability of multi-body interactions to bypass decoherence
- Experimental repetitive quantum channel simulation
- Quantum-enhanced accelerometry with a non-linear electromechanical circuit
- Efficient cavity control with SNAP gates
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- Engineered Dissipation for Quantum Information Science
- Beating the break-even point with a discrete-variable-encoded logical qubit
- Quantum information processing with bosonic qubits in circuit QED
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- Contextuality and Wigner negativity are equivalent for continuous-variable quantum measurements
- Stabilizing a Bosonic Qubit using Colored Dissipation
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- Geometric correspondence of noisy quantum dynamics and universal robust quantum gates
- Compass state: Effect of squeezing and displacement on the Fock space
- The superconducting circuit companion -- an introduction with worked examples
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- Non-adiabatic holonomic quantum operations in continuous variable systems
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- Optimally robust shortcuts to population inversion in cat-state qubits
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- Fixed-point quantum continuous search algorithm with optimal query complexity
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- Frozonium: Freezing Anharmonicity in Floquet Superconducting Circuits
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- Monitoring the energy of a cavity by observing the emission of a repeatedly excited qubit
- Negative Wigner function by decaying interaction from equilibrium
- Adaptive Non-Gaussian Quantum State Engineering
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- Linear-optical protocols for mitigating and suppressing noise in bosonic systems
- Unitary-transformed projective squeezing: applications for circuit-knitting and state-preparation of non-Gaussian states
- Measurement-based quantum computation utilizing the graph states of Bose-Einstein condensates and continuous variables
- Autonomous Quantum Error Correction in a Four-Photon Kerr Parametric Oscillator
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- High-Fidelity Controlled-Phase Gate for Binomial Codes via Geometric Phase Engineering
- Quantum Key Distribution: Bridging Theoretical Security Proofs, Practical Attacks, and Error Correction for Quantum-Augmented Networks
- High-performance quantum interconnect between bosonic modules beyond transmission loss constraints
- Single-Period Floquet Control of Bosonic Codes with Quantum Lattice Gates
- Principles of Optics in the Fock Space: Scalable Manipulation of Giant Quantum States
- On-chip microwave coherent source with in-situ control of the photon number distribution
- Stabilization and Dissipative Information Transfer of a Superconducting Kerr-Cat Qubit