Engineering bilinear mode coupling in circuit QED: Theory and experiment
arXiv:1808.07960 · doi:10.1103/PhysRevA.99.012314
Abstract
Photonic states of superconducting microwave cavities controlled by transmon ancillas provide a platform for encoding and manipulating quantum information. A key challenge in scaling up the platform is the requirement to communicate on demand the information between the cavities. It has been recently demonstrated that a tunable bilinear interaction between two cavities can be realized by coupling them to a bichromatically-driven transmon ancilla, which allows swapping and interfering the multi-photon states of the cavities [Gao et al., Phys. Rev. X 8, 021073(2018)]. Here, we explore both theoretically and experimentally the regime of relatively strong drives on the ancilla needed to achieve fast SWAP gates but which can also lead to undesired non-perturbative effects that lower the SWAP fidelity. We develop a theoretical formalism based on linear response theory that allows one to calculate the rate of ancilla-induced interaction, decay and frequency shift of the cavities in terms of a susceptibility matrix. We treat the drives non-perturbatively using Floquet theory, and find that the interference of the two drives can strongly alter the system dynamics even in the regime where the rotating wave approximation applies. We identify two major sources of infidelity due to ancilla decoherence. i) Ancilla dissipation and dephasing leads to incoherent hopping among Floquet states which occurs even when the ancilla is at zero temperature, resulting in a sudden change of the SWAP rate. ii) The cavities inherit finite decay from the relatively lossy ancilla through the inverse Purcell effect; the effect can be enhanced when the drive-induced AC Stark shift pushes certain ancilla transition frequencies to the vicinity of the cavity frequencies. The theoretical predictions agree quantitatively with the experimental results, paving the way for using the theory to design future experiments.
arXiv comment43 pages, 18 figures. Extended discussions on transmon-induced cavity dephasing in Sec. IVD
References in corpus (34)
- Gaussian Quantum Information
- Charge insensitive qubit design derived from the Cooper pair box
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- The Flux Qubit Revisited to Enhance Coherence and Reproducibility
- Confining the state of light to a quantum manifold by engineered two-photon loss
- AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
- Quantum acoustics with superconducting qubits
- A quantum memory with near-millisecond coherence in circuit QED
- An RF-Driven Josephson Bifurcation Amplifier for Quantum Measurements
- Boson Sampling for Molecular Vibronic Spectra
- Black-box superconducting circuit quantization
- Generating Entangled Microwave Radiation Over Two Transmission Lines
- Parametrically Activated Entangling Gates Using Transmon Qubits
- Fault-tolerant detection of a quantum error
- Topological frequency conversion in strongly driven quantum systems
- Schrodinger's catapult: Launching multiphoton quantum states from a microwave cavity memory
- Random access quantum information processors
- Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
- Quantum superposition of a single microwave photon in two different "colour" states
- A CNOT gate between multiphoton qubits encoded in two cavities
- Statistical mechanics of Floquet systems: the pervasive problem of near degeneracies
- Beyond Strong Coupling in a Massively Multimode Cavity
- Programmable interference between two microwave quantum memories
- Quantum simulation of molecular spectroscopy in trapped-ion device
- Full coherent frequency conversion between two microwave propagating modes
- Universal Quantum Computing with Arbitrary Continuous-Variable Encoding
- Quantum heating of a parametrically modulated oscillator: spectral signatures
- Statistical mechanics of Floquet systems with regular and chaotic states
- Interplay of driving and frequency noise in the spectra of vibrational systems
- Preparing quasienergy states on demand: A parametric oscillator
- Quantum Heating of a nonlinear resonator probed by a superconducting qubit
- Multiphoton antiresonance
- Floquet resonances close to the adiabatic limit and the effect of dissipation
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- Crosstalk-Robust Quantum Control in Multimode Bosonic Systems
- Autonomous Quantum State Transfer by Dissipation Engineering
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- Shaping photons: quantum computation with bosonic cQED
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- Digital quantum simulation of beam splitters and squeezing with IBM quantum computers
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- Engineering the Nonlinearity of Bosonic Modes with a Multi-loop SQUID
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- Coherence-Mediated Quantum Thermometry in a Hybrid Circuit-QED Architecture
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- A Linear Quantum Coupler for Clean Bosonic Control
- Quantum Computation and Communication in Bosonic Systems
- Engineering Strong Beamsplitter Interaction between Bosonic Modes via Quantum Optimal Control Theory
- Systematic Construction of Time-Dependent Hamiltonians for Microwave-Driven Josephson Circuits
- Nonreciprocal flow of fluctuations, populations and correlations between doubly coupled bosonic modes