Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
arXiv:0903.2030 · doi:10.1038/nature08121
Abstract
By harnessing the superposition and entanglement of physical states, quantum computers could outperform their classical counterparts in solving problems of technological impact, such as factoring large numbers and searching databases. A quantum processor executes algorithms by applying a programmable sequence of gates to an initialized register of qubits, which coherently evolves into a final state containing the result of the computation. Simultaneously meeting the conflicting requirements of long coherence, state preparation, universal gate operations, and qubit readout makes building quantum processors challenging. Few-qubit processors have already been shown in nuclear magnetic resonance, cold ion trap and optical systems, but a solid-state realization has remained an outstanding challenge. Here we demonstrate a two-qubit superconducting processor and the implementation of the Grover search and Deutsch-Jozsa quantum algorithms. We employ a novel two-qubit interaction, tunable in strength by two orders of magnitude on nanosecond time scales, which is mediated by a cavity bus in a circuit quantum electrodynamics (cQED) architecture. This interaction allows generation of highly-entangled states with concurrence up to 94%. Although this processor constitutes an important step in quantum computing with integrated circuits, continuing efforts to increase qubit coherence times, gate performance and register size will be required to fulfill the promise of a scalable technology.
6 pages, 1 table, 4 figures, and Supplementary Information (3 pages, 3 figures); Expanded author list, updated references, and minor improvements to text and figures
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- Quantum manipulation in a Josephson LED
- Coupler-Assisted Leakage Reduction for Scalable Quantum Error Correction with Superconducting Qubits
- Speed limits for two-qubit gates with weakly anharmonic qubits
- Controlled-Z gate for transmon qubits coupled by semiconductor junctions
- Nonlocal quantum gate on quantum continuous variables with minimum resources
- Entanglement generation using a controlled-phase gate for time-bin qubits
- Initialization and Readout of Spin Chains for Quantum Information Transport
- Symmetries for a High Level Neural Decoder on the Toric Code
- Thermal Excitation of Multi-Photon Dressed States in Circuit Quantum Electrodynamics
- Realisation of adiabatic and diabatic CZ gates in superconducting qubits coupled with a tunable coupler
- Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
- Delocalized single-photon Dicke states and the Leggett- Garg inequality in solid state systems
- Experimental Monte Carlo Quantum Process Certification
- Dynamics of the quantum search and quench-induced first-order phase transitions
- Landau-Zener-Stückelberg Interferometry in dissipative Circuit Quantum Electrodynamics
- Simple quantum error detection and correction for superconducting qubits
- Engineering adiabaticity at an avoided crossing with optimal control
- Quantum State Synthesis of Superconducting Resonators
- Quantum computer-aided design: digital quantum simulation of quantum processors
- Dissipative dynamics of a two-qubit system: Four-level lasing
- Optimal quantum control via genetic algorithms for quantum state engineering in driven-resonator mediated networks
- Quantum phase measurement and Gauss sum factorization of large integers in a superconducting circuit
- Spin-echo entanglement protection from random telegraph noise
- Quantum power boost in a nonstationary cavity-QED quantum heat engine
- Three qubit Grover's algorithm using superconducting quantum interference devices in cavity QED
- Microwave spectroscopy of a Cooper pair beam splitter
- Reduction of microwave loss by mobile fluxons in grooved Nb films
- Quantum Maxwell's Demon Assisted by Non-Markovian Effects
- Impact of decoherence on the fidelity of quantum gates leaving the computational subspace
- An error-protected cross-resonance switch in weakly-tuneable architectures
- Optimization of Controlled-Z Gate with Data-Driven Gradient Ascent Pulse Engineering in a Superconducting Qubit System
- Measurement-induced two-qubit entanglement in a bad cavity: Fundamental and practical considerations
- Quantum metrology enhanced by coherence-induced-driving in a cavity QED setup
- Freely Scalable Quantum Technologies using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links
- Mitigating Losses of Superconducting Qubits Strongly Coupled to Defect Modes
- Arbitrary Control of Entanglement between two nitrogen-vacancy center ensembles coupling to superconducting circuit qubit
- Spin-Weyl quantum unit: theoretical proposal
- Engineering topological states and quantum-inspired information processing using classical circuits
- Transferring arbitrary d-dimensional quantum states of a superconducting qudit in circuit QED
- Coulomb interaction-driven entanglement of electrons on helium
- Adiabatic quantum simulations with driven superconducting qubits
- The quantum Rabi model in a superfluid Bose-Einstein condensate
- Multi-frequency control pulses for multi-level superconducting quantum circuits
- Tomographic discord for a system of two coupled nanoelectric circuits
- Demonstration of quantum permutation algorithm with a single photon ququart
- Entanglement concentration and purification of two-mode squeezed microwave photons in circuit QED
- A Toffoli Gate Decomposition via Echoed Cross-Resonance Gates
- Coherent Resonant Coupling between Atoms and a Mechanical Oscillator Mediated by Cavity-Vacuum Fluctuations
- Fast Flux Entangling Gate for Fluxonium Circuits
- Revealing Quantum Advantage in a Quantum Network
- Improved qubit bifurcation readout in the straddling regime of circuit QED
- Calibration of cryogenic amplification chains using normal-metal--insulator--superconductor junctions
- A superconducting qubit as a quantum transformer routing entanglement between a microscopic quantum memory and a macroscopic resonator
- Quantized resonator field coupled to a current-biased Josephson junction in circuit QED
- Machine-learning based three-qubit gate for realization of a Toffoli gate with cQED-based transmon systems
- Application of polaron picture in the two-qubit quantum Rabi model
- Universal distributed quantum computing on superconducting qutrits with dark photons
- From Josephson junction metamaterials to tunable pseudo-cavities
- Individual Addressing in Quantum Computation through Spatial Refocusing
- Quantum Monte Carlo simulation
- Experimentally Realizable C-NOT Gate in a Flux Qubit/Resonator System
- Mediator assisted cooling in quantum annealing
- Fundamental limitations for measurements in quantum many-body systems
- Microwave-based Arbitrary CPHASE Gates for Transmon Qubits
- Entangled state fusion with Rydberg atoms
- Qubit systems subject to unbalanced random telegraph noise: quantum correlations, non-Markovianity and teleportation
- Comparative study of quantum error correction strategies for the heavy-hexagonal lattice
- Nonadiabatic corrections to fast dispersive multiqubit gates involving Z control
- Fast generation of Cat states in Kerr nonlinear resonators via optimal adiabatic control
- Extreme High-Field Superconductivity in Thin Re Films
- One Gate Scheme to Rule Them All: Introducing a Complex Yet Reduced Instruction Set for Quantum Computing
- Scheduler of quantum circuits based on dynamical pattern improvement and its application to hardware design
- Spectral measurement of the thermal excitation of a superconducting qubit
- Protocols for classically training quantum generative models on probability distributions
- Parametrically driven hybrid qubits-photon systems: dissipation-induced quantum entanglement and photon production from vacuum
- Efficient generation of NOON states on two microwave-photon resonators
- Single-step transfer or exchange of multipartite quantum entanglement with minimum resources
- Lecture Notes on Quantum Electrical Circuits
- Non-perturbative analytical diagonalization of Hamiltonians with application to coupling suppression and enhancement in cQED
- Circuit QED flip-flop memory with all-microwave switching
- Universal classical optical computing inspired by quantum information process
- Role of parasitic interactions and microwave crosstalk in dispersive control of two superconducting artificial atoms
- Scalable quantum computing model in the circuit-QED lattice with circulator function
- Quantum entanglement for two qubits in a nonstationary cavity
- Softening of Majorana edge states by long-range couplings
- Enabling High Performance Debugging for Variational Quantum Algorithms using Compressed Sensing
- Quantum Vulnerability Analysis to Accurate Estimate the Quantum Algorithm Success Rate
- Preparing two-atom entangled state in a cavity and probing it via quantum non-demolition measurement
- Realization of quantum gates with multiple control qubits or multiple target qubits in a cavity
- Anti-Dynamical Casimir Effect as a Resource for Work Extraction
- Validity of resonant two-qubit gates in the ultrastrong coupling regime of circuit QED
- Microwave-activated gates between a fluxonium and a transmon qubit
- Low-temperature environments for quantum computation and quantum simulation
- Co-Designed Architectures for Modular Superconducting Quantum Computers
- Tunable slowing, storing and releasing of a weak microwave field
- Mitigating Errors on Superconducting Quantum Processors through Fuzzy Clustering
- Band-selective shaped pulse for high fidelity quantum control in diamond
- Enhancement of quantum speed limit time due to cooperative effects in multilevel systems
- Light-dressing of a diatomic superconducting artificial molecule
- Interaction-free evolving states of a bipartite system
- Variational Quantum Support Vector Machine based on matrix expansion and Variational Universal-Quantum-State Generator
- Realistic simulation of quantum computation using unitary and measurement channels
- Time-optimal control fields for quantum systems with multiple avoided crossings
- Simulation of anyonic fractional statistics of Kitaev's toric model in circuit QED
- Efficient Hamiltonian programming in qubit arrays with nearest-neighbour couplings
- Forbidden subspaces for level-1 QAOA and IQP circuits
- Suppressed crosstalk between two-junction superconducting qubits with mode-selective exchange coupling
- Proposal for a transmon-based quantum router
- Using quantum state protection via dissipation in a quantum-dot molecule to solve the Deutsch problem
- Alibaba Cloud Quantum Development Platform: Surface Code Simulations with Crosstalk
- Landau-Zener-Stückelberg Spectroscopy of a Superconducting Flux Qubit
- Highly Controllable Qubit-Bath Coupling Based on a Sequence of Resonators
- Speeding up antidynamical Casimir effect with nonstationary qutrits
- Designing fast quantum gates using optimal control with a reinforcement-learning ansatz
- Floquet Analysis of Frequency Collisions
- Heralded entangled coherent states between spatially separated massive resonators
- Artificial abelian gauge potentials induced by dipole-dipole interactions between Rydberg atoms
- Globally driven superconducting quantum computing architecture
- Realizing Lattice Surgery on Two Distance-Three Repetition Codes with Superconducting Qubits
- Classical realization of the quantum Deutsch algorithm
- Analytical model of non-Markovian decoherence in donor-based charge quantum bits
- 1- and 3-photon dynamical Casimir effects using nonstationary cyclic qutrit
- Enhancing a Near-Term Quantum Accelerator's Instruction Set Architecture for Materials Science Applications
- Phase dynamics of tunnel Al-based ferromagnetic Josephson junctions
- Remote Cross-resonance Gate between Superconducting Fixed-frequency Qubits
- Generation of Superposition States and Charge-Qubit Relaxation Probing in a Circuit
- Multipartite Entanglement Generation Assisted by Inhomogeneous Coupling
- Optimization of probabilistic quantum search algorithm with a priori information
- Can the displacemon device test objective collapse models?
- Encoding qubits into harmonic-oscillator modes via quantum walks in phase space
- eQASM: An Executable Quantum Instruction Set Architecture
- Realizing a Continuous Set of Two-Qubit Gates Parameterized by an Idle Time
- Response to defects in multi- and bipartite entanglement of isotropic quantum spin networks
- Superfluid-Mott insulator quantum phase transition in a cavity optomagnonic system
- Universal pulses for superconducting qudit ladder gates
- Laser from a Manybody Correlated Medium
- Distributed quantum information processing via single atom driving
- Fast quantum information transfer with superconducting flux qubits coupled to a cavity
- Coupling qubits in circuit-QED cavities connected by a bridge qubit
- Quantum and Classical Chaos in Kicked Coupled Jaynes-Cummings Cavities
- Synchronization of qubit ensemble under optimized -pulse driving
- Compact inductor-capacitor resonators at sub-gigahertz frequencies
- Flexible constraint compilation in the parity architecture
- Scalable cavity quantum electrodynamics system for quantum computing
- Maximally entangled Rydberg-atom pairs via Landau-Zener sweeps
- Quantifying Entanglement in Cluster States Built with Error-Prone Interactions
- Numerical analysis of effective models for flux-tunable transmon systems
- Solid state multi-ensemble quantum computer in waveguide circuit model
- Fundamental Gates for a Strongly Correlated Two-Electron Quantum Ring
- An Optimized Quantum Maximum or Minimum Searching Algorithm and its Circuits
- Verification of a resetting protocol for an uncontrolled superconducting qubit
- Scalable multiphoton generation from cavity-synchronized single-photon sources
- Perturbative Analysis of Quasi-periodic Patterning of Transmon Quantum Computers: Enhancement of Many-Body Localization
- Dynamics of an Ion Coupled to a Parametric Superconducting Circuit
- Heralding entangled optical photons from a microwave quantum processor
- Single-qubit rotation algorithm with logarithmic Toffoli count and gate depth
- A proposal for implementing an n-qubit controlled-rotation gate with three-level superconducting qubit systems in cavity QED
- The design of an experimental platform for hybridization of atomic and superconducting quantum systems
- Control and enhancement of interferometric coupling between two photonic qubits
- AMENDART in Markovian circuit QED
- Optimization of Junction and Bias Parameters in readout of Phase Qubit
- Decay of nonlocality due to adiabatic and quantum noise in the solid state
- Resource-Efficient Cross-Platform Verification with Modular Superconducting Devices
- Deterministic transfer of an unknown qutrit state assisted by the low-Q microwave resonators
- Noise suppression and long-range exchange coupling for gallium arsenide spin qubits
- Methodology for bus layout for topological quantum error correcting codes
- Fast microwave-driven two-qubit gates between fluxonium qubits with a transmon coupler
- Controlled-NOT gate based on the Rydberg states of surface electrons
- Integrating Quantum Processor Device and Control Optimization in a Gradient-based Framework
- Quantum Features of the Thermal Two-Qubit Quantum Rabi Model in Ultra- and Deep-Strong Regimes
- On the fragility of gate-error metrics in simulation models of flux-tunable transmon quantum computers
- Tutorial on Superconducting Quantum Circuits: From Basics to Applications
- A practical guide for building superconducting quantum devices
- Measuring coherent dynamics of a superconducting qubit in an open waveguide
- Dynamics of a superconducting qubit coupled to the quantized cavity field: a unitary transformation approach
- Invariance of success probability in Grover's quantum search under local noise with memory
- Integrated photonic 3D waveguide arrays for quantum random walks on a circle
- Consequences of unitary evolution of coupled qubit-resonator systems for stabilizing circuits in surface codes
- Analysis of the spectroscopy of a hybrid system composed of a superconducting flux qubit and diamond NV centers
- Redundant string symmetry-based error correction: Demonstrations on quantum devices
- Novel voltage signal at proximity effect induced superconducting transition temperature in gold nanowires
- Amplitude Amplification and Estimation using a Floquet system
- Macroscopic instructions vs microscopic operations in quantum circuits
- Role of qubit-cavity entanglement for switching dynamics of quantum interfaces in superconductor metamaterials
- Distributed-HISQ: A Distributed Quantum Control Architecture
- Phonon-induced entanglement dynamics of two donor-based charge quantum bits
- Transmon-assisted high-fidelity controlled-Z gates for integer fluxonium qubits
- Loss-induced quantum nonreciprocity and entanglement in superconducting qubits
- Fast and robust two- and three-qubit swapping gates on multi-atomic ensembles in quantum electrodynamic cavity
- Performance-centric roadmap for building a superconducting quantum computer
- From Few to Many Emitters Cavity QED: Energy Levels and Emission Spectra From Weak to Deep-Strong Coupling
- The Parity Flow Formalism: Tracking Quantum Information Throughout Computation
- Scalable Low-overhead Superconducting Non-local Coupler with Exponentially Enhanced Connectivity
- Concurrent Fermionic Simulation Gate
- Preparing Greenberger-Horne-Zeilinger Entangled Photon Fock States of Three Cavities Coupled by a Superconducting Flux Qutrit
- Quantum computer of wire circuit architecture
- Parallel two-qubit entangling gates via a quantum nondemolition interaction controlled by rotation
- Quantum synchronization of qubits via dynamical Casimir effect
- State Initialization of a Hot Spin Qubit in a Double Quantum Dot by Measurement-Based Quantum Feedback Control
- Relaxation of Rabi Dynamics in a Superconducting Multiple-Qubit Circuit
- Topological phases in interacting spin-1 systems
- Three-qubit exact Grover within the blind oracular quantum computation scheme
- Energy Spectrum and Exact Cover in an Extended Quantum Ising Model
- Quantum state transfer and controlled-phase gate on one-dimensional superconducting resonators assisted by a quantum bus
- Practical implementation of Toffoli-based qubit rotation
- Multi-Qubit Dynamical Quantum Search Algorithm with Dissipation
- Floquet-engineered system-reservoir interaction in the transverse field Ising model
- A hybrid ferromagnetic transmon qubit: circuit design, feasibility and detection protocols for magnetic fluctuations
- Construction of controlled-NOT gate based on microwave-activated phase (MAP) gate in two transmon system
- Model of a Programmable Quantum Processing Device
- Proposal for an autonomous quantum heat engine
- The Optimization of Flux Trajectories for the Adiabatic Controlled-Z Gate on Split-Tunable Transmons
- Nonreciprocal routing induced by chirality in an atom-dimer waveguide-QED system
- Orthogonal frequency-division multiplexing for simultaneous gate operations on multiple qubits via a shared control line
- Two-qubit quantum Fourier transform and entanglement protected by circulant symmetry
- Two-photon exchange interaction from Dicke Hamiltonian under parametric modulation
- Implementation of a quantum controlled-SWAP gate with photonic circuits
- Quantum information density scaling and qubit operation time constraints of CMOS silicon based quantum computer architectures
- Circuit QED: Generation of two-transmon-qutrit entangled states via resonant interaction
- Resource-Efficient Teleportation of High-Dimensional Quantum Coherence via Initial Phase Engineering
- Resonant Coupling Parameter Estimation with Superconducting Qubits
- Four-state discrimination for a pair of spin qubits via gate reflectometry
- Submicrometer tunnel ferromagnetic Josephson junctions with transmon energy scale
- Proposal for implementing the three-qubit refined Deutsch-Jozsa quantum algorithm
- Generation of the Cluster States using Double Quantum Dots in Circuit QED
- Quantum Jump Approach to Switching Process of a Josephson Junction Coupled to a Microscopic Two-Level System
- Circuit QED: Implementation of the three-qubit refined Deutsch-Jozsa quantum algorithm
- Controlled-Not Quantum Logic Gate in Two Strongly Coupled Semiconductor Charge Qubits
- Holography of Transmission Lines: Insights of Continuous MERA and AdS/CFT