Heisenberg-Limited Atom Clocks Based on Entangled Qubits

E.M. Kessler; P. Kómár; M. Bishof; L. Jiang; Anders Søndberg Sørensen; J. Ye; M.D. Lukin

doi:10.1103/PhysRevLett.112.190403

Heisenberg-Limited Atom Clocks Based on Entangled Qubits

E.M. Kessler, P. Kómár, M. Bishof, L. Jiang, Anders Søndberg Sørensen, J. Ye, M.D. Lukin

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62 Citations (Scopus)

Abstract

We present a quantum-enhanced atomic clock protocol based on groups of sequentially larger Greenberger-Horne-Zeilinger (GHZ) states that achieves the best clock stability allowed by quantum theory up to a logarithmic correction. Importantly the protocol is designed to work under realistic conditions where the drift of the phase of the laser interrogating the atoms is the main source of decoherence. The simultaneous interrogation of the laser phase with a cascade of GHZ states realizes an incoherent version of the phase estimation algorithm that enables Heisenberg-limited operation while extending the coherent interrogation time beyond the laser noise limit. We compare and merge the new protocol with existing state of the art interrogation schemes, and identify the precise conditions under which entanglement provides an advantage for clock stabilization: it allows a significant gain in the stability for short averaging time.

Original language	English
Article number	190403
Journal	Physical Review Letters
Volume	112
Issue number	19
ISSN	0031-9007
DOIs	https://doi.org/10.1103/PhysRevLett.112.190403
Publication status	Published - 15 May 2014

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title = "Heisenberg-Limited Atom Clocks Based on Entangled Qubits",

abstract = "We present a quantum-enhanced atomic clock protocol based on groups of sequentially larger Greenberger-Horne-Zeilinger (GHZ) states that achieves the best clock stability allowed by quantum theory up to a logarithmic correction. Importantly the protocol is designed to work under realistic conditions where the drift of the phase of the laser interrogating the atoms is the main source of decoherence. The simultaneous interrogation of the laser phase with a cascade of GHZ states realizes an incoherent version of the phase estimation algorithm that enables Heisenberg-limited operation while extending the coherent interrogation time beyond the laser noise limit. We compare and merge the new protocol with existing state of the art interrogation schemes, and identify the precise conditions under which entanglement provides an advantage for clock stabilization: it allows a significant gain in the stability for short averaging time.",

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T1 - Heisenberg-Limited Atom Clocks Based on Entangled Qubits

AU - Kessler, E.M.

AU - Kómár, P.

AU - Bishof, M.

AU - Jiang, L.

AU - Sørensen, Anders Søndberg

AU - Ye, J.

AU - Lukin, M.D.

PY - 2014/5/15

Y1 - 2014/5/15

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AB - We present a quantum-enhanced atomic clock protocol based on groups of sequentially larger Greenberger-Horne-Zeilinger (GHZ) states that achieves the best clock stability allowed by quantum theory up to a logarithmic correction. Importantly the protocol is designed to work under realistic conditions where the drift of the phase of the laser interrogating the atoms is the main source of decoherence. The simultaneous interrogation of the laser phase with a cascade of GHZ states realizes an incoherent version of the phase estimation algorithm that enables Heisenberg-limited operation while extending the coherent interrogation time beyond the laser noise limit. We compare and merge the new protocol with existing state of the art interrogation schemes, and identify the precise conditions under which entanglement provides an advantage for clock stabilization: it allows a significant gain in the stability for short averaging time.

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JO - Physical Review Letters

JF - Physical Review Letters

IS - 19

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Heisenberg-Limited Atom Clocks Based on Entangled Qubits

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