Deterministic amplification of Schrödinger cat states in circuit quantum electrodynamics

Jaewoo Joo, Matthew Elliott, Daniel K L Oi, Eran Ginossar, Timothy P. Spiller

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Perfect deterministic amplification of arbitrary quantum states is prohibited by quantum mechanics, but determinism can be achieved by compromising between fidelity and amplification power. We propose a dynamical scheme for deterministically amplifying photonic Schrödinger cat states, which show great promise as a tool for quantum information processing. Our protocol is designed for strongly coupled circuit quantum electrodynamics and utilizes artificial atomic states and external microwave controls to engineer a set of optimal state transfers and achieve high fidelity amplification. We compare analytical results with full simulations of the open, driven Jaynes-Cummings model, using realistic device parameters for state of the art superconducting circuits. Amplification with a fidelity of 0.9 can be achieved for sizable cat states in the presence of cavity and atomic-level decoherence. This tool could be applied to practical continuous-variable information processing for the purification and stabilization of cat states in the presence of photon losses.

LanguageEnglish
Article number023028
Number of pages11
JournalNew Journal of Physics
Volume18
Issue number2
DOIs
Publication statusPublished - 5 Feb 2016

Fingerprint

cats
quantum electrodynamics
purification
engineers
quantum mechanics
stabilization
photonics
microwaves
cavities
photons
simulation

Keywords

  • amplification of quantum states
  • cat states
  • circuit quantum electrodynamics
  • quantum optics
  • superconducting circuits

Cite this

Joo, Jaewoo ; Elliott, Matthew ; Oi, Daniel K L ; Ginossar, Eran ; Spiller, Timothy P. / Deterministic amplification of Schrödinger cat states in circuit quantum electrodynamics. In: New Journal of Physics. 2016 ; Vol. 18, No. 2.
@article{3f6672049dee408abe52586239aef057,
title = "Deterministic amplification of Schr{\"o}dinger cat states in circuit quantum electrodynamics",
abstract = "Perfect deterministic amplification of arbitrary quantum states is prohibited by quantum mechanics, but determinism can be achieved by compromising between fidelity and amplification power. We propose a dynamical scheme for deterministically amplifying photonic Schr{\"o}dinger cat states, which show great promise as a tool for quantum information processing. Our protocol is designed for strongly coupled circuit quantum electrodynamics and utilizes artificial atomic states and external microwave controls to engineer a set of optimal state transfers and achieve high fidelity amplification. We compare analytical results with full simulations of the open, driven Jaynes-Cummings model, using realistic device parameters for state of the art superconducting circuits. Amplification with a fidelity of 0.9 can be achieved for sizable cat states in the presence of cavity and atomic-level decoherence. This tool could be applied to practical continuous-variable information processing for the purification and stabilization of cat states in the presence of photon losses.",
keywords = "amplification of quantum states, cat states, circuit quantum electrodynamics, quantum optics, superconducting circuits",
author = "Jaewoo Joo and Matthew Elliott and Oi, {Daniel K L} and Eran Ginossar and Spiller, {Timothy P.}",
year = "2016",
month = "2",
day = "5",
doi = "10.1088/1367-2630/18/2/023028",
language = "English",
volume = "18",
journal = "New Journal of Physics",
issn = "1367-2630",
number = "2",

}

Deterministic amplification of Schrödinger cat states in circuit quantum electrodynamics. / Joo, Jaewoo; Elliott, Matthew; Oi, Daniel K L; Ginossar, Eran; Spiller, Timothy P.

In: New Journal of Physics, Vol. 18, No. 2, 023028, 05.02.2016.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Deterministic amplification of Schrödinger cat states in circuit quantum electrodynamics

AU - Joo, Jaewoo

AU - Elliott, Matthew

AU - Oi, Daniel K L

AU - Ginossar, Eran

AU - Spiller, Timothy P.

PY - 2016/2/5

Y1 - 2016/2/5

N2 - Perfect deterministic amplification of arbitrary quantum states is prohibited by quantum mechanics, but determinism can be achieved by compromising between fidelity and amplification power. We propose a dynamical scheme for deterministically amplifying photonic Schrödinger cat states, which show great promise as a tool for quantum information processing. Our protocol is designed for strongly coupled circuit quantum electrodynamics and utilizes artificial atomic states and external microwave controls to engineer a set of optimal state transfers and achieve high fidelity amplification. We compare analytical results with full simulations of the open, driven Jaynes-Cummings model, using realistic device parameters for state of the art superconducting circuits. Amplification with a fidelity of 0.9 can be achieved for sizable cat states in the presence of cavity and atomic-level decoherence. This tool could be applied to practical continuous-variable information processing for the purification and stabilization of cat states in the presence of photon losses.

AB - Perfect deterministic amplification of arbitrary quantum states is prohibited by quantum mechanics, but determinism can be achieved by compromising between fidelity and amplification power. We propose a dynamical scheme for deterministically amplifying photonic Schrödinger cat states, which show great promise as a tool for quantum information processing. Our protocol is designed for strongly coupled circuit quantum electrodynamics and utilizes artificial atomic states and external microwave controls to engineer a set of optimal state transfers and achieve high fidelity amplification. We compare analytical results with full simulations of the open, driven Jaynes-Cummings model, using realistic device parameters for state of the art superconducting circuits. Amplification with a fidelity of 0.9 can be achieved for sizable cat states in the presence of cavity and atomic-level decoherence. This tool could be applied to practical continuous-variable information processing for the purification and stabilization of cat states in the presence of photon losses.

KW - amplification of quantum states

KW - cat states

KW - circuit quantum electrodynamics

KW - quantum optics

KW - superconducting circuits

UR - http://www.scopus.com/inward/record.url?scp=84960172349&partnerID=8YFLogxK

U2 - 10.1088/1367-2630/18/2/023028

DO - 10.1088/1367-2630/18/2/023028

M3 - Article

VL - 18

JO - New Journal of Physics

T2 - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

IS - 2

M1 - 023028

ER -