Entangling logical qubits with lattice surgery

Abstract

Future quantum computers will require quantum error correction for faithful operation. The correction capabilities come with an overhead for performing fault-tolerant logical operations on the encoded qubits. One of the most resource efficient ways to implement logical operations is lattice surgery, where groups of physical qubits, arranged on lattices, can be merged and split to realize entangling gates and teleport logical information. Here, we report on the experimental realization of lattice surgery between two topologically encoded qubits in a 10-qubit ion trap quantum information processor. In particular, we demonstrate entanglement between two logical qubits and we implement logical state teleportation.

6+9 pages, 10 figures, 3 tables

References in corpus (41)

• Surface codes: Towards practical large-scale quantum computation
• Quantum Teleportation is a Universal Computational Primitive
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Topological quantum memory
• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• Quantum Error Correction for Quantum Memories
• State preservation by repetitive error detection in a superconducting quantum circuit
• Quantum Error Correction for Beginners
• Quantum error correction in a solid-state hybrid spin register
• Roads towards fault-tolerant universal quantum computation
• Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
• Surface code quantum computing by lattice surgery
• Optimal local implementation of non-local quantum gates
• Experimental Quantum Computations on a Topologically Encoded Qubit
• A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery
• Quantum computing with nearest neighbor interactions and error rates over 1%
• Entanglement Certification $-$ From Theory to Experiment
• Repeated Quantum Error Detection in a Surface Code
• Observation of Entangled States of a Fully Controlled 20-Qubit System
• A quantum information processor with trapped ions
• Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
• Blueprint for a microwave trapped-ion quantum computer
• 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
• Characterizing large-scale quantum computers via cycle benchmarking
• Experimental demonstration of fault-tolerant state preparation with superconducting qubits
• Fault-tolerant quantum error detection
• A Software Methodology for Compiling Quantum Programs
• Optimizing Quantum Error Correction Codes with Reinforcement Learning
• Fault-Tolerant Logical Gates in the IBM Quantum Experience
• Experimental demonstration of a graph state quantum error-correction code
• Measurement-based quantum computation with trapped ions
• Deterministic correction of qubit loss
• A repetition code of 15 qubits
• Experimental implementation of encoded logical qubit operations in a perfect quantum error correcting code
• Experimental Implementation of a Concatenated Quantum Error-Correcting Code
• Transversality and lattice surgery: exploring realistic routes towards coupled logical qubits with trapped-ion quantum processors
• Fault-tolerant interface between quantum memories and quantum processors
• 3D Sisyphus Cooling of Trapped Ions
• Optimization of Lattice Surgery is NP-Hard
• Experimental quantum error correction with high fidelity

Cited by in corpus (77)

• Strong quantum computational advantage using a superconducting quantum processor
• Realization of an Error-Correcting Surface Code with Superconducting Qubits
• Demonstration of fault-tolerant universal quantum gate operations
• Fault-tolerant operation of a logical qubit in a diamond quantum processor
• A perspective on the current state-of-the-art of quantum computing for drug discovery applications
• Quantum information processing with bosonic qubits in circuit QED
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Logical-qubit operations in an error-detecting surface code
• Quantum error mitigation as a universal error-minimization technique: applications from NISQ to FTQC eras
• Noisy intermediate-scale quantum computers
• Quantum networks with neutral atom processing nodes
• Quantum Error Correction with Metastable States of Trapped Ions Using Erasure Conversion
• Repetitive readout and real-time control of nuclear spin qubits in ${}^{171}$Yb atoms
• Performance of planar Floquet codes with Majorana-based qubits
• Analyzing the Rydberg-based omg architecture for ${}^{171}$Yb nuclear spins
• Multiplexed telecom-band quantum networking with atom arrays in optical cavities
• Measurement-free fault-tolerant quantum error correction in near-term devices
• Realizing quantum gates with optically-addressable ${}^{171}$Yb${}^{+}$ ion qudits
• Majorana Loop Models for Measurement-Only Quantum Circuits
• Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
• Roadmap on Quantum Thermodynamics
• Morphing quantum codes
• Active cancellation of servo-induced noise on stabilized lasers via feedforward
• Protecting quantum entanglement between error-corrected logical qubits
• Creating entangled logical qubits in the heavy-hex lattice with topological codes
• Strategies for practical advantage of fault-tolerant circuit design in noisy trapped-ion quantum computers
• Scalable hyperfine qubit state detection via electron shelving in the ${}^2$D${}_{5/2}$ and ${}^2$F${}_{7/2}$ manifolds in ${}^{171}$Yb${}^{+}$
• Continuous dynamical decoupling of optical ${}^{171}$Yb${}^{+}$ qudits with radiofrequency fields
• Graphical Structures for Design and Verification of Quantum Error Correction
• The XYZ${}^2$ hexagonal stabilizer code
• Realizing topologically ordered states on a quantum processor
• Robust teleportation of a surface code and cascade of topological quantum phase transitions
• Spatial, spin, and charge symmetry projections for a Fermi-Hubbard model on a quantum computer
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits
• Towards multiqudit quantum processor based on a ${}^{171}$Yb${}^{+}$ ion string: Realizing basic quantum algorithms
• Data-driven decoding of quantum error correcting codes using graph neural networks
• Single-Step Parity Check Gate Set for Quantum Error Correction
• A quantum processor based on coherent transport of entangled atom arrays
• Experimental Demonstration of High-Fidelity Logical Magic States from Code Switching
• Extracting Error Thresholds through the Framework of Approximate Quantum Error Correction Condition
• Non-Pauli errors can be efficiently sampled in qudit surface codes
• Error-rate-agnostic decoding of topological stabilizer codes
• Evaluating the Resilience of Variational Quantum Algorithms to Leakage Noise
• Quantum computer error structure probed by quantum error correction syndrome measurements
• Individual Addressing and State Readout of Trapped Ions Utilizing Radio-Frequency Micromotion
• Realizing a class of stabilizer quantum error correction codes using a single ancilla and circular connectivity
• Realizing Lattice Surgery on Two Distance-Three Repetition Codes with Superconducting Qubits
• Logical multi-qubit entanglement with dual-rail superconducting qubits
• Spatially parallel decoding for multi-qubit lattice surgery
• Hexagonal matching codes with 2-body measurements
• A Multilevel Framework for Partitioning Quantum Circuits
• Lattice Hamiltonians and Stray Interactions Within Quantum Processors
• Power-law entanglement and Hilbert space fragmentation in non-reciprocal quantum circuits
• LSQCA: Resource-Efficient Load/Store Architecture for Limited-Scale Fault-Tolerant Quantum Computing
• Ion trap with gold-plated alumina: substrate and surface characterization
• Exact results on finite size corrections for surface codes tailored to biased noise
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Logical qubits with erasure conversion using metastable neutral atoms
• Vulnerability of fault-tolerant topological quantum error correction to quantum deviations in code space
• Lattice surgery-based logical state teleportation via noisy links
• Quantum Reservoir Computing for Realized Volatility Forecasting
• Feasibility of Logical Bell State Generation in Memory Assisted Quantum Networks
• Supervised binary classification of small-scale digit images and weighted graphs with a trapped-ion quantum processor
• Magic State Injection on IBM Quantum Processors Above the Distillation Threshold
• Realization and Calibration of Continuously Parameterized Two-Qubit Gates on a Trapped-Ion Quantum Processor
• Experimental demonstration of entanglement pumping with bosonic logical qubits
• Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits
• Unified Architecture for Quantum Lookup Tables
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $\lambda {\varphi }^4$ model
• High-fidelity initialization a logical qubit with multiple injections
• Type-Based Verification of Connectivity Constraints in Lattice Surgery
• Error-mitigated initialization of surface codes with non-Pauli stabilizers
• Optimal Scheduling of Graph States via Path Decompositions
• Suppressing decoherence in quantum state transfer with unitary operations
• Noise-Aware Circuit Compilations for a Continuously Parameterized Two-Qubit Gateset
• Color codes with domino twists: Construction, logical measurements, and computation
• Lattice Surgery for Dummies