Quantum Trajectories and Their Statistics for Remotely Entangled Quantum Bits

We experimentally and theoretically investigate the quantum trajectories of jointly monitored transmon qubits embedded in spatially separated microwave cavities. Using nearly quantum-noise-limited superconducting amplifiers and an optimized setup to reduce signal loss between cavities, we can effici...

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Main Authors: Areeya Chantasri, Mollie E. Kimchi-Schwartz, Nicolas Roch, Irfan Siddiqi, Andrew N. Jordan
Format: Article
Language:English
Published: American Physical Society 2016-12-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.6.041052
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author Areeya Chantasri
Mollie E. Kimchi-Schwartz
Nicolas Roch
Irfan Siddiqi
Andrew N. Jordan
author_facet Areeya Chantasri
Mollie E. Kimchi-Schwartz
Nicolas Roch
Irfan Siddiqi
Andrew N. Jordan
author_sort Areeya Chantasri
collection DOAJ
description We experimentally and theoretically investigate the quantum trajectories of jointly monitored transmon qubits embedded in spatially separated microwave cavities. Using nearly quantum-noise-limited superconducting amplifiers and an optimized setup to reduce signal loss between cavities, we can efficiently track measurement-induced entanglement generation as a continuous process for single realizations of the experiment. The quantum trajectories of transmon qubits naturally split into low and high entanglement classes. The distribution of concurrence is found at any given time, and we explore the dynamics of entanglement creation in the state space. The distribution exhibits a sharp cutoff in the high concurrence limit, defining a maximal concurrence boundary. The most-likely paths of the qubits’ trajectories are also investigated, resulting in three probable paths, gradually projecting the system to two even subspaces and an odd subspace, conforming to a “half-parity” measurement. We also investigate the most-likely time for the individual trajectories to reach their most entangled state, and we find that there are two solutions for the local maximum, corresponding to the low and high entanglement routes. The theoretical predictions show excellent agreement with the experimental entangled-qubit trajectory data.
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spelling doaj.art-6a450193dc704d2a8382cc56265212b72022-12-21T20:09:29ZengAmerican Physical SocietyPhysical Review X2160-33082016-12-016404105210.1103/PhysRevX.6.041052Quantum Trajectories and Their Statistics for Remotely Entangled Quantum BitsAreeya ChantasriMollie E. Kimchi-SchwartzNicolas RochIrfan SiddiqiAndrew N. JordanWe experimentally and theoretically investigate the quantum trajectories of jointly monitored transmon qubits embedded in spatially separated microwave cavities. Using nearly quantum-noise-limited superconducting amplifiers and an optimized setup to reduce signal loss between cavities, we can efficiently track measurement-induced entanglement generation as a continuous process for single realizations of the experiment. The quantum trajectories of transmon qubits naturally split into low and high entanglement classes. The distribution of concurrence is found at any given time, and we explore the dynamics of entanglement creation in the state space. The distribution exhibits a sharp cutoff in the high concurrence limit, defining a maximal concurrence boundary. The most-likely paths of the qubits’ trajectories are also investigated, resulting in three probable paths, gradually projecting the system to two even subspaces and an odd subspace, conforming to a “half-parity” measurement. We also investigate the most-likely time for the individual trajectories to reach their most entangled state, and we find that there are two solutions for the local maximum, corresponding to the low and high entanglement routes. The theoretical predictions show excellent agreement with the experimental entangled-qubit trajectory data.http://doi.org/10.1103/PhysRevX.6.041052
spellingShingle Areeya Chantasri
Mollie E. Kimchi-Schwartz
Nicolas Roch
Irfan Siddiqi
Andrew N. Jordan
Quantum Trajectories and Their Statistics for Remotely Entangled Quantum Bits
Physical Review X
title Quantum Trajectories and Their Statistics for Remotely Entangled Quantum Bits
title_full Quantum Trajectories and Their Statistics for Remotely Entangled Quantum Bits
title_fullStr Quantum Trajectories and Their Statistics for Remotely Entangled Quantum Bits
title_full_unstemmed Quantum Trajectories and Their Statistics for Remotely Entangled Quantum Bits
title_short Quantum Trajectories and Their Statistics for Remotely Entangled Quantum Bits
title_sort quantum trajectories and their statistics for remotely entangled quantum bits
url http://doi.org/10.1103/PhysRevX.6.041052
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