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Most likely paths for quantum trajectories: multiple solutions and generalization to two-qubit case

Areeya Chantasri, Andrew N. Jordan

Bulletin of the American Physical SocietyMar 4, 20150 citations

Resonance Fluorescence Trajectories of a Superconducting Qubit

Kater W. Murch, Mahdi Naghiloo, Dian Tan +2 more

We employ phase-sensitive amplification to perform homodyne detection of the resonance fluorescence from a driven superconducting artificial atom. Entanglement between the emitter and its fluorescence allows us to track the individual quantum state trajectories of the emitter. We analyze the ensemble properties of these trajectories by considering paths that connect specific initial and final states. By applying a stochastic path integral formalism, we calculate equations of motion for the most likely path between two quantum states and compare these predicted paths to experimental data. Drawing on the mathematical similarity between the stochastic path integral formalism for quantum trajectories and the path integral formalism in ray optics we study the emergence of caustics in quantum trajectories---situations where multiple extrema in the stochastic action occur. We observe such multiple most likely paths in experimental data and find these paths to be in reasonable quantitative agreement with theoretical calculations.We employ phase-sensitive amplification to perform homodyne detection of the resonance fluorescence from a driven superconducting artificial atom. Entanglement between the emitter and its fluorescence allows us to track the individual quantum state trajectories of the emitter. We analyze the ensemble properties of these trajectories by considering paths that connect specific initial and final states. By applying a stochastic path integral formalism, we calculate equations of motion for the most likely path between two quantum states and compare these predicted paths to experimental data. Drawing on the mathematical similarity between the stochastic path integral formalism for quantum trajectories and the path integral formalism in ray optics we study the emergence of caustics in quantum trajectories---situations where multiple extrema in the stochastic action occur. We observe such multiple most likely paths in experimental data and find these paths to be in reasonable quantitative agreement with theoretical calculations.

Quantum Information and Measurement (QIM)Jan 1, 20170 citations

Understanding qubit trajectories in parametrized quantum circuits

Seungcheol Oh, Chaemoon Im, Soohyun Park +1 more

Physical Review ADec 29, 20251 citation

Multiple Most-Likely Path Solutions for Continuously Monitored, Driven Qubits

Philippe Lewalle, Areeya Chantasri, Andrew N. Jordan

We examine most-likely paths for continuously monitored pure-state qubits, obtained as an extremum of a stochastic path integral. By considering the evolution of the Lagrange Manifold, we locate multiple-path solutions, analogous to optical caustics.

Frontiers in OpticsJan 1, 20160 citations

Observing single quantum trajectories of a superconducting qubit: introduction

Kater W. Murch, Steven J. Weber, Chris Macklin +1 more

Bulletin of the American Physical SocietyMar 5, 20141 citation

Quantum caustics in resonance-fluorescence trajectories

Mahdi Naghiloo, Desmond Kai Teck Tan, P. M. Harrington +3 more

We employ phase-sensitive amplification to perform homodyne detection of the resonance fluorescence from a driven superconducting artificial atom. Entanglement between the emitter and its fluorescence allows us to track the individual quantum state trajectories of the emitter conditioned on the outcomes of the field measurements. We analyze the ensemble properties of these trajectories by considering trajectories that connect specific initial and final states. By applying the stochastic path-integral formalism, we calculate equations of motion for the most-likely path between two quantum states and compare these predicted paths to experimental data. Drawing on the mathematical similarity between the action formalism of the most-likely quantum paths and ray optics, we study the emergence of caustics in quantum trajectories: places where multiple extrema in the stochastic action occur. We observe such multiple most-likely paths in experimental data and find these paths to be in reasonable quantitative agreement with theoretical calculations.We employ phase-sensitive amplification to perform homodyne detection of the resonance fluorescence from a driven superconducting artificial atom. Entanglement between the emitter and its fluorescence allows us to track the individual quantum state trajectories of the emitter conditioned on the outcomes of the field measurements. We analyze the ensemble properties of these trajectories by considering trajectories that connect specific initial and final states. By applying the stochastic path-integral formalism, we calculate equations of motion for the most-likely path between two quantum states and compare these predicted paths to experimental data. Drawing on the mathematical similarity between the action formalism of the most-likely quantum paths and ray optics, we study the emergence of caustics in quantum trajectories: places where multiple extrema in the stochastic action occur. We observe such multiple most-likely paths in experimental data and find these paths to be in reasonable quantitative agreement with theoretical calculations.

arXiv:1612.03189Physical Review ANov 3, 201730 citations

Multiple Most Likely Paths in Diffusive Quantum Trajectories of Pure-State Qubits

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