Measurement-based quantum computation

Abstract

Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics can be harnessed and exploited. A number of models of quantum computation exist, including the now well-studied quantum circuit model. Although these models have been shown to be formally equivalent, their underlying elementary concepts and the requirements for their practical realization can differ significantly. The new paradigm of measurement-based quantum computation, where the processing of quantum information takes place by rounds of simple measurements on qubits prepared in a highly entangled state, is particularly exciting in this regard. In this article we discuss a number of recent developments in measurement-based quantum computation in both fundamental and practical issues, in particular regarding the power of quantum computation, the protection against noise (fault tolerance) and steps toward experimental realization. Moreover, we highlight a number of surprising connections between this field and other branches of physics and mathematics.

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• Ergodicity from Nonergodicity in Quantum Correlations of Low-dimensional Spin Systems
• Measurement-Induced Heating of Trapped Ions
• Implementing Genuine Multi-Qubit Entanglement of Two-Level-System Inside a Superconducting Phase Qubit
• Macroscopic Schrödinger Cat Resistant to Particle Loss and Local Decoherence
• How efficient is transport of quantum cargo through multiple highways?
• Bulk and boundary entanglement transitions in the projective gauge-Higgs model
• Quantum Computing for Data Centric Engineering and Science
• Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
• Tuning the nuclei-induced spin relaxation of localized electrons by the quantum Zeno and anti-Zeno effects
• Statistical Mechanics of Stochastic Quantum Control: $d$-adic Rényi Circuits
• Classical Limits and Contextuality in a Scenario of Multiple Observers
• Non-Markovian memory in a measurement-based quantum computer
• Subsystem symmetry, spin glass order, and criticality from random measurements in a two-dimensional Bacon-Shor circuit
• Heralding entangled optical photons from a microwave quantum processor
• Maximally entangled gapped ground state of lattice fermions
• Hidden anisotropy controls spin-photon entanglement in a charged quantum dot
• Single-shot and measurement-based quantum error correction via fault complexes
• Quantifying Quantum Causal Influences
• Optical reconstruction of collective density matrix of qutrit
• Constructing 2D and 3D cluster states with photonic modules
• Localizing genuine multiparty entanglement in noisy stabilizer states
• Entangling power, gate typicality, and measurement-induced phase transitions
• Tripartite genuinely entangled states from entanglement-breaking subspaces
• Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation
• Creating Maximally Entangled States by Gluing
• Experimental characterization of a non-local convertor for quantum photonic networks
• Combining contextuality and causality: a game semantics approach
• Experimental realization of universal quantum gates and six-qubit entangled state using photonic quantum walk
• Entanglement Detection with Quantum-inspired Kernels and SVMs
• Experimental Detection of Non-local Correlations using a Local Measurement-Based Hierarchy on an NMR Quantum Processor
• Quantifying entanglement from the geometric perspective
• Purification of Noisy Measurements and Faithful Distillation of Entanglement
• Generating and verifying graph states for fault-tolerant topological measurement-based quantum computing in 2D optical lattices
• Multi-controlled Phase Gate Synthesis with ZX-calculus applied to Neutral Atom Hardware
• Zeno-effect Computation: Opportunities and Challenges
• Quantum spin state stabilized by coupling with classical spins
• Teleporting bipartite entanglement using maximally entangled mixed channels
• Measurement-only dynamical phase transition of topological and boundary order in toric code and gauge-Higgs models
• Adiabatic freezing of entanglement with insertion of defects in a one-dimensional Hubbard model
• Autonomous Stabilization of Floquet States Using Static Dissipation
• Generic eigenstate preparation via measurement-based purification
• Nanotube Double Quantum Dot Spin Transducer for Scalable Quantum Information Processing
• "All-versus-nothing" proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario
• The Fidelity of Measurement-Based Quantum Computation under a Boson Environment
• Parametric Amplification of a Quantum Pulse
• Efficient generation of entangled multi-photon graph states from a single atom
• Measurement-based interleaved randomised benchmarking using IBM processors
• Chirality-assisted enhancement of tripartite entanglement in waveguide QED
• Quantum state transfer using 1D Heisenberg Hamiltonian on quasi-1D lattices
• A Quantum Theory with Non-Collapsing Measurements
• Dynamic quantum circuit compilation
• Characterizing the Multipartite Entanglement Structure of Non-Gaussian Continuous-Variable States with a Single Evolution Operator
• Hierarchy of emergent cluster states by measurement from symmetry-protected-topological states with large symmetry to subsystem cat state
• Nonclassical correlations in subsystems of globally entangled quantum states
• Measuring multipartite quantum correlations by thermodynamic work extraction
• The Min-Entropy of Classical-Quantum Combs for Measurement-Based Applications
• Efficient preparation of the AKLT State with Measurement-based Imaginary Time Evolution
• Meta-Designing Quantum Experiments with Language Models
• Universal quantum computation via quantum controlled classical operations
• Multi-agent blind quantum computation without universal cluster states
• Heuristic for estimation of multiqubit genuine multipartite entanglement
• Many-body quantum resources of graph states
• Absorbing state phase transitions beyond directed percolation in dissipative quantum state preparation
• Birefringent spin-photon interface generates polarization entanglement
• Benchmarking quantum tomography completeness and fidelity with machine learning
• Quantum Software Ecosystem Design
• A Unified Framework for Quantum Supervised Learning
• Atom-mediated deterministic generation and stitching of photonic graph states
• Quantum entanglement percolation under a realistic restriction
• Classifying Entanglement by Algebraic Geometry
• Invested and Potential Magic Resources in Measurement-Based Quantum Computation
• Development of research network on Quantum Annealing Computation and Information using Google Scholar data
• Quantum speed of evolution of neutral mesons
• Robust projective measurements through measuring code-inspired observables
• Boundary anomaly detection in two-dimensional subsystem symmetry-protected topological phases
• Preservation of entanglement in local noisy channels
• Simple proof of confidentiality for private quantum channels in noisy environments
• Measurement-Based Entanglement Distillation and Constant-Rate Quantum Repeaters over Arbitrary Distances
• Demonstration of teleportation across a quantum network code
• Minimally Universal Parity Quantum Computing
• Graph state extraction from two-dimensional cluster states
• Compactifying linear optical unitaries using multiport beamsplitters
• Beyond the Projection Postulate and Back: Quantum Theories with Generalised State-Update Rules
• Entanglement properties of a quantum-dot biexciton cascade in a chiral nanophotonic waveguide
• Statistics of leading digits leads to unification of quantum correlations
• Does relativistic motion really freeze initially maximal entanglement?
• Generalized entropic uncertainty relation and non-classicality in Schwarzschild black hole
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
• Local Invariance of Divergence-based Quantum Information Measures
• Network mechanism for generating genuinely correlative Gaussian states
• Ising models and topological codes: classical algorithms and quantum simulation
• Nonclassical resource for continuous variable telecloning with non-Gaussian advantage
• Implementation of single-qubit measurement-based t-designs using IBM processors
• Excitons guided by polaritons
• Exact dynamics of single qubit gate fidelities under the measurement-based quantum computation scheme
• Bursts of polarised single photons from atom-cavity sources
• The Foliage Partition: An Easy-to-Compute LC-Invariant for Graph States
• Measurement-driven quantum computing: Performance of a 3-SAT solver
• Entanglement of weighted graphs uncovers transitions in variable-range interacting models
• Exploiting many-body localization for scalable variational quantum simulation
• Critical assessment of information back-flow in measurement-free teleportation
• Scheme for measurement-based quantum computation on projected entangled-pair states
• Theoretical framework for enhancing or enabling cooling of a mechanical resonator via the anti-Stokes or Stokes interaction and zero-photon detection
• Resource-efficient universal photonic processor based on time-multiplexed hybrid architectures
• Measurement-Induced Entanglement in Conformal Field Theory
• Detection of Genuine Multipartite Entanglement in Arbitrary Multipartite systems
• Generation of frequency-bin-encoded dual-rail cluster states via time-frequency multiplexing of microwave photonic qubits
• Discord in relation to resource states for measurement-based quantum computation
• Fast computational deep thermalization
• Detection of genuine tripartite entanglement by two bipartite entangled states
• The genuinely multipartite nonlocality of graph states is model-dependent
• Experimental nonlocality-based network diagnostics of mutipartite entangled states
• Protecting entanglement witnesses with randomized measurements
• Minimising the number of edges in LC-equivalent graph states
• Measurement-based quantum computing with qudit stabilizer states
• Purely quantum memory in closed systems observed via imperfect measurements
• Preparing Remote States for Genuine Quantum Networks
• Generating scalable entanglement of ultracold bosons in superlattices through resonant shaking
• Enhancing the sensitivity of single microwave photon detection with bandwidth tunability
• Structure of multipartite entanglement in random cluster-like photonic systems
• A Sharp Geometric Measure of Entanglement
• Robust implicit quantum control of interacting spin chains
• Taming Rydberg Decay with Measurement-based Quantum Computation
• Detector entanglement: Quasidistributions for Bell-state measurements
• Timing constraints due to real-time graph traversal algorithms on incomplete cluster states in photonic measurement-based quantum computing
• Shadow Pauli Flow: Characterising Determinism in MBQCs involving Pauli Measurements
• Post-measurement Quantum Monte Carlo
• Generalized Parity Measurements and Efficient Large Multi-component Cat State Preparation with Quantum Signal Processing
• The Universe and The Quantum Computer
• Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
• Resource state generation for a multispin register in a hybrid matter-photon quantum information processor
• A local model of quantum Turing machines
• Rapid Preparation of Rydberg Superatom W State Using Superadiabatic Techniques
• Quantifying coherence of quantum measurements
• Optimized Clifford Noise Reduction: Theory, Simulations and Experiments
• Codeword Stabilized Codes from m-Uniform Graph States
• Imperfect Entangling Power of Quantum Gates
• Near-deterministic photon entanglement from a spin qudit in silicon using third quantisation
• Optical Quantum Computing
• Neutral atom entangling gate in the ultrastrong coupling regime
• Creating long-range entangled Majorana pairs: from spin-1/2 twisted Kitaev to generalized XY chains
• A Novel Stabilizer-based Entanglement Distillation Protocol for Qudits
• From Quantum Optics to Quantum Technologies
• An almost deterministic cooling by measurements
• Holographic duality between bulk topological order and boundary mixed-state order
• Computational costs of data definition at the quantum - classical interface
• Witness wedges in fidelity-deviation plane: separating teleportation advantage and Bell-inequality violation
• Reduced Sampling Overhead for Probabilistic Error Cancellation by Pauli Error Propagation
• Statistics of Entanglement Transformation with Hierarchies among Catalysts
• Measurement-induced entanglement in noisy 2D random circuits
• Masking Countermeasures Against Side-Channel Attacks on Quantum Computers
• Blind quantum computing with different qudit resource state architectures
• Efficient circuit compression by multiqudit entangling gates in linear optical quantum computation
• Energetic cost of measurements using quantum, coherent, and thermal light
• Explicit Formulas for Estimating Trace of Reduced Density Matrix Powers via Single-Circuit Measurement Probabilities
• Phases and phase transitions of an $S=3/2$ chain on metallic and semi-metallic surfaces
• Robust certification of non-projective measurements: theory and experiment
• Hierarchies among genuine multipartite entangling capabilities of quantum gates
• Efficient tomography of microwave photonic cluster states
• Revealing effects of local dimension on variable-range interacting model by connecting Lieb-Robinson bounds and multipartite entanglement
• Entanglement Detection Beyond Local Bound with Coarse Calibrated measurements
• Sequential information theoretic protocols in continuous variable systems
• Nonlinear photonic architecture for fault-tolerant quantum computing
• Maximum expectation of observables with restricted purity states
• Quantum Information Processing with Continuous Variables and Atomic Ensembles
• Long-ranged gates in quantum computation architectures with limited connectivity
• Quantum Storage of Qubits in an Array of Independently Controllable Solid-State Quantum Memories
• Signature candidate of quantum chaos far from the semiclassical regime
• Verifiable cloud-based variational quantum algorithms
• Scaling of Computational Order Parameters in Rydberg Atom Graph States
• Unifying communication paradigms in measurement-based delegated quantum computing
• Detecting Entanglement by State Preparation and Local Measurements
• Parafermionic representation of Potts-based cluster chain
• Testing equivalence of pure quantum states and graph states under SLOCC
• Measurement resolution enhanced coherence for lattice fermions
• Shareability of Quantum Correlations in a Many-Body Spin System with Two- and Three-Body Interactions
• Computational Perspectives on Bell Inequalities and Many-body Quantum Correlations
• Generation of hypercubic cluster states in 1-4 dimensions in a simple optical system
• Unleashing Optimizations in Dynamic Circuits through Branch Expansion
• Probe of Generic Quantum Contextuality and Nonlocal Resources for Qubits
• Graph States and the Variety of Principal Minors
• Generalized Type II Fusion of Cluster States