Quantum computer-aided design: digital quantum simulation of quantum processors

Abstract

With the increasing size of quantum processors, sub-modules that constitute the processor hardware will become too large to accurately simulate on a classical computer. Therefore, one would soon have to fabricate and test each new design primitive and parameter choice in time-consuming coordination between design, fabrication, and experimental validation. Here we show how one can design and test the performance of next-generation quantum hardware -- by using existing quantum computers. Focusing on superconducting transmon processors as a prominent hardware platform, we compute the static and dynamic properties of individual and coupled transmons. We show how the energy spectra of transmons can be obtained by variational hybrid quantum-classical algorithms that are well-suited for near-term noisy quantum computers. In addition, single- and two-qubit gate simulations are demonstrated via Suzuki-Trotter decomposition. Our methods pave a promising way towards designing candidate quantum processors when the demands of calculating sub-module properties exceed the capabilities of classical computing resources.

arXiv comment17 pages, 8 figures. accepted version to appear in Phys. Rev. Appl

References in corpus (58)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• A variational eigenvalue solver on a quantum processor
• Charge insensitive qubit design derived from the Cooper pair box
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• The theory of variational hybrid quantum-classical algorithms
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• A Quantum Engineer's Guide to Superconducting Qubits
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Error mitigation for short-depth quantum circuits
• Trapped-Ion Quantum Computing: Progress and Challenges
• Quantum fingerprinting
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• An adaptive variational algorithm for exact molecular simulations on a quantum computer
• State preservation by repetitive error detection in a superconducting quantum circuit
• Expressibility and entangling capability of parameterized quantum circuits for hybrid quantum-classical algorithms
• A class of quantum many-body states that can be efficiently simulated
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Scalable Quantum Simulation of Molecular Energies
• Demonstration of a small programmable quantum computer with atomic qubits
• Efficient variational quantum simulator incorporating active error minimisation
• Photonic quantum information processing: a concise review
• The Flux Qubit Revisited to Enhance Coherence and Reproducibility
• Preparation and Measurement of Three-Qubit Entanglement in a Superconducting Circuit
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Practical Quantum Error Mitigation for Near-Future Applications
• Hybrid quantum-classical algorithms and quantum error mitigation
• Benchmarking an 11-qubit quantum computer
• Controlling the spontaneous emission of a superconducting transmon qubit
• Realization of a scalable Shor algorithm
• Variational Quantum Computation of Excited States
• Robust determination of molecular spectra on a quantum processor
• Generalized Unitary Coupled Cluster Wavefunctions for Quantum Computation
• Quantum chemistry calculations on a trapped-ion quantum simulator
• A generative modeling approach for benchmarking and training shallow quantum circuits
• A random compiler for fast Hamiltonian simulation
• Surface participation and dielectric loss in superconducting qubits
• Introduction to Quantum Electromagnetic Circuits
• Quantum Implementation of Unitary Coupled Cluster for Simulating Molecular Electronic Structure
• Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
• Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space
• The high-coherence fluxonium qubit
• Variational Fast Forwarding for Quantum Simulation Beyond the Coherence Time
• Genuine 12-qubit entanglement on a superconducting quantum processor
• 0.5 Petabyte Simulation of a 45-Qubit Quantum Circuit
• Quantification and Characterization of Leakage Errors
• Multi-level quantum description of decoherence in superconducting qubits
• Faster quantum simulation by randomization
• Fidelity of Single Qubit Maps
• Higher Order Decompositions of Ordered Operator Exponentials
• Resource-efficient digital quantum simulation of $d$-level systems for photonic, vibrational, and spin-$s$ Hamiltonians
• Quantum computing with neutral atoms
• Massively parallel quantum computer simulator, eleven years later
• Intel Quantum Simulator: A cloud-ready high-performance simulator of quantum circuits
• Superconducting circuit protected by two-Cooper-pair tunneling
• Digital quantum simulation of molecular vibrations
• Tequila: A platform for rapid development of quantum algorithms
• Quantum Computer-Aided design of Quantum Optics Hardware
• Sampling and scrambling on a chain of superconducting qubits

Cited by in corpus (8)

• Noisy intermediate-scale quantum (NISQ) algorithms
• Artificial Intelligence and Machine Learning for Quantum Technologies
• Learning quantum dynamics with latent neural ODEs
• Preparing Valence-Bond-Solid states on noisy intermediate-scale quantum computers
• Towards Quantum Computing with Molecular Electronics
• Variational quantum iterative power algorithms for global optimization
• Expanding Hardware-Efficiently Manipulable Hilbert Space via Hamiltonian Embedding
• Resilient superconducting-element design with genetic algorithms