Extensive characterization of a family of efficient three-qubit gates at the coherence limit
arXiv:2207.02938 · doi:10.1038/s41534-023-00711-x
Abstract
While all quantum algorithms can be expressed in terms of single-qubit and two-qubit gates, more expressive gate sets can help reduce the algorithmic depth. This is important in the presence of gate errors, especially those due to decoherence. Using superconducting qubits, we have implemented a three-qubit gate by simultaneously applying two-qubit operations, thereby realizing a three-body interaction. This method straightforwardly extends to other quantum hardware architectures, requires only a "firmware" upgrade to implement, and is faster than its constituent two-qubit gates. The three-qubit gate represents an entire family of operations, creating flexibility in quantum-circuit compilation. We demonstrate a gate fidelity of , which is near the coherence limit of our device. We then generate two classes of entangled states, the GHZ and W states, by applying the new gate only once; in comparison, decompositions into the standard gate set would have a two-qubit gate depth of two and three, respectively. Finally, we combine characterization methods and analyze the experimental and statistical errors on the fidelity of the gates and of the target states.
arXiv comment19 pages, 10 figures
References in corpus (56)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Elementary gates for quantum computation
- Charge insensitive qubit design derived from the Cooper pair box
- Three qubits can be entangled in two inequivalent ways
- Quantum fingerprinting
- Prescription for experimental determination of the dynamics of a quantum black box
- Robust randomized benchmarking of quantum processes
- Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
- Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
- Efficient Z-Gates for Quantum Computing
- Efficient measurement of quantum gate error by interleaved randomized benchmarking
- Generation of Three-Qubit Entangled States using Superconducting Phase Qubits
- Non-adiabatic holonomic quantum computation
- A four-qubit germanium quantum processor
- Optimal, reliable estimation of quantum states
- Implementation of a Toffoli Gate with Superconducting Circuits
- Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
- Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators
- A Grand Unification of Quantum Algorithms
- Realization of the quantum Toffoli gate with trapped ions
- Demonstrating a Continuous Set of Two-qubit Gates for Near-term Quantum Algorithms
- A universal gate for fixed-frequency qubits via a tunable bus
- Self-Consistent Quantum Process Tomography
- Complete methods set for scalable ion trap quantum information processing
- Characterizing large-scale quantum computers via cycle benchmarking
- Gate Set Tomography
- Parallel Entangling Operations on a Universal Ion Trap Quantum Computer
- Quantum fidelity measures for mixed states
- What randomized benchmarking actually measures
- Quantum Algorithm for Spectral Measurement with Lower Gate Count
- Implementation of the XY interaction family with calibration of a single pulse
- High-fidelity three-qubit iToffoli gate for fixed-frequency superconducting qubits
- Quantum Circuits with Unbounded Fan-out
- Analysis of parametrically driven exchange-type (iSWAP) and two-photon (bSWAP) interactions between superconducting qubits
- Parametric-resonance entangling gates with a tunable coupler
- Nonadiabatic holonomic single-qubit gates in off-resonant systems
- Quantum process tomography via completely positive and trace-preserving projection
- Improved success probability with greater circuit depth for the quantum approximate optimization algorithm
- Improving the Performance of Deep Quantum Optimization Algorithms with Continuous Gate Sets
- Benchmarking the noise sensitivity of different parametric two-qubit gates in a single superconducting quantum computing platform
- Five Two-Qubit Gates Are Necessary for Implementing Toffoli Gate
- Scalable algorithm simplification using quantum AND logic
- Fast parametric two-qubit gates with suppressed residual interaction using a parity-violated superconducting qubit
- Fast multi-qubit gates through simultaneous two-qubit gates
- A programmable three-qubit superconducting processor with all-to-all connectivity
- Projected Least-Squares Quantum Process Tomography
- Resource-Efficient Quantum Computing by Breaking Abstractions
- From randomized benchmarking experiments to gateset circuit fidelity: how to interpret randomized benchmarking decay parameters
- Synthesizing five-body interaction in a superconducting quantum circuit
- ZZ freedom in two qubit gates
- Controlled-Controlled-Phase Gates for Superconducting Qubits Mediated by a Shared Tunable Coupler
- Single Shot i-Toffoli Gate in Dispersively Coupled Superconducting Qubits
- Conditionally rigorous mitigation of multiqubit measurement errors
- A polar decomposition for quantum channels (with applications to bounding error propagation in quantum circuits)
- Cross-resonance interactions between superconducting qubits with variable detuning
- Comparing randomized benchmarking figure with average infidelity of quantum gate-set
Cited by in corpus (26)
- Modular quantum processor with an all-to-all reconfigurable router
- Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
- Impact of decoherence on the fidelity of quantum gates leaving the computational subspace
- Edge modes and symmetry-protected topological states in open quantum systems
- Direct Implementation of High-Fidelity Three-Qubit Gates for Superconducting Processor with Tunable Couplers
- Resource analysis of quantum algorithms for coarse-grained protein folding models
- Simulating open quantum systems with giant atoms
- Simple realization of a hybrid controlled-controlled-Z gate with photonic control qubits encoded via eigenstates of the photon-number parity operator
- Quantum SWAP gate realized with CZ and iSWAP gates in a superconducting architecture
- Temporally correlated quantum noise in driven quantum systems
- Parity-dependent state transfer for direct entanglement generation
- An engineering guide to superconducting quantum circuit shielding
- Parametric multi-element coupling architecture for coherent and dissipative control of superconducting qubits
- Quantum process tomography of continuous-variable gates using coherent states
- Real-time adaptive tracking of fluctuating relaxation rates in superconducting qubits
- Niobium Air Bridges as Low-Loss Components for Superconducting Quantum Hardware
- Benchmarking the quality of multiplexed qubit readout beyond assignment fidelity
- Near-Minimal Gate Set Tomography Experiment Designs
- Scalable quantum simulator with an extended gate set in giant atoms
- Implementation of a quantum addressable router using superconducting qubits
- Microwave-activated high-fidelity three-qubit gate scheme for fixed-frequency superconducting qubits
- Concurrent Fermionic Simulation Gate
- Overhead in Quantum Circuits with Time-Multiplexed Qubit Control
- Parity Cross-Resonance: A Multiqubit Gate
- Meson dynamics from locally exciting a particle-conserving lattice gauge theory
- Quantum Process Tomography with Digital Twins of Error Matrices