A blueprint for demonstrating quantum supremacy with superconducting qubits
arXiv:1709.06678 · doi:10.1126/science.aao4309
Abstract
Fundamental questions in chemistry and physics may never be answered due to the exponential complexity of the underlying quantum phenomena. A desire to overcome this challenge has sparked a new industry of quantum technologies with the promise that engineered quantum systems can address these hard problems. A key step towards demonstrating such a system will be performing a computation beyond the capabilities of any classical computer, achieving so-called quantum supremacy. Here, using 9 superconducting qubits, we demonstrate an immediate path towards quantum supremacy. By individually tuning the qubit parameters, we are able to generate thousands of unique Hamiltonian evolutions and probe the output probabilities. The measured probabilities obey a universal distribution, consistent with uniformly sampling the full Hilbert-space. As the number of qubits in the algorithm is varied, the system continues to explore the exponentially growing number of states. Combining these large datasets with techniques from machine learning allows us to construct a model which accurately predicts the measured probabilities. We demonstrate an application of these algorithms by systematically increasing the disorder and observing a transition from delocalized states to localized states. By extending these results to a system of 50 qubits, we hope to address scientific questions that are beyond the capabilities of any classical computer.
References in corpus (27)
- A variational eigenvalue solver on a quantum processor
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- The many-body localization phase transition
- Characterizing Quantum Supremacy in Near-Term Devices
- Randomized Benchmarking of Quantum Gates
- Quantum annealing with more than one hundred qubits
- Towards Quantum Chemistry on a Quantum Computer
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Quantum algorithms for supervised and unsupervised machine learning
- Periodically Driving a Many-Body Localized Quantum System
- Average-case complexity versus approximate simulation of commuting quantum computations
- What is the Computational Value of Finite Range Tunneling?
- Rare region effects and dynamics near the many-body localization transition
- Fast adiabatic qubit gates using only control
- Achieving quantum supremacy with sparse and noisy commuting quantum computations
- 0.5 Petabyte Simulation of a 45-Qubit Quantum Circuit
- Quantum Sampling Problems, BosonSampling and Quantum Supremacy
- Entropy of isolated quantum systems after a quench
- Dynamics of entanglement and transport in 1D systems with quenched randomness
- Entanglement dynamics in quantum many-body systems
- Quantum Simulator for Transport Phenomena in Fluid Flows
- Permanents in linear optical networks
- Microwave Boson Sampling
- Tunable inductive coupling of superconducting qubits in the strongly nonlinear regime
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- Analog Errors in Ising Machines
- QFlow lite dataset: A machine-learning approach to the charge states in quantum dot experiments
- Calibration of flux crosstalk in large-scale flux-tunable superconducting quantum circuits
- Microwave-Activated Controlled-Z Gate for Fixed-Frequency Fluxonium Qubits
- Perturbation impact of spectators on a cross-resonance gate in a tunable coupling superconducting circuit
- Conserved quantities in parity-time symmetric systems
- Steering Majorana braiding via skyrmion-vortex pairs: a scalable platform
- Accrediting outputs of noisy intermediate-scale quantum computing devices
- Large-scale GHZ states through topologically protected zero-energy mode in a superconducting qutrit-resonator chain
- Long-range connectivity in a superconducting quantum processor using a ring resonator
- Arbitrary entangled state transfer via a topological qubit chain
- Decoherence of two entangled spin qubits coupled to an interacting sparse nuclear spin bath: application to nitrogen vacancy centers
- A low-noise on-chip coherent microwave source
- Amplitude and frequency sensing of microwave fields with a superconducting transmon qudit
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- Scaling Qubit Readout with Hardware Efficient Machine Learning Architectures
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- Verifying Random Quantum Circuits with Arbitrary Geometry Using Tensor Network States Algorithm
- Emergent statistical mechanics from properties of disordered random matrix product states
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