Towards photonic quantum simulation of ground states of frustrated Heisenberg spin systems

Xiaosong Ma; Borivoje Dakic; Sebastian Kropatschek; William Naylor; Yang-hao Chan; Zhe-xuan Gong; Lu-ming Duan; Anton Zeilinger; Philip Walther

doi:10.1038/srep03583

Towards photonic quantum simulation of ground states of frustrated Heisenberg spin systems

Xiaosong Ma (Corresponding author)
, Borivoje Dakic
, Sebastian Kropatschek
, William Naylor
, Yang-hao Chan
, Zhe-xuan Gong
, Lu-ming Duan
, Anton Zeilinger
, Philip Walther

Quantum Science

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

Photonic quantum simulators are promising candidates for providing insight into other small- to medium-sized quantum systems. Recent experiments have shown that photonic quantum systems have the advantage to exploit quantum interference for the quantum simulation of the ground state of Heisenberg spin systems. Here we experimentally characterize this quantum interference at a tuneable beam splitter and further investigate the measurement-induced interactions of a simulated four-spin system by comparing the entanglement dynamics using pairwise concurrence. We also study theoretically a four-site square lattice with next-nearest neighbor interactions and a six-site checkerboard lattice, which might be in reach of current technology.

Original language	English
Article number	3583
Number of pages	7
Journal	Scientific Reports
Volume	4
DOIs	https://doi.org/10.1038/srep03583
Publication status	Published - 7 Jan 2014

Funding

X.S.M., B. D., S. K., W.N., Y.H.C., A.Z. and P. W. thank F. Verstraete and C. Brukner for helpful discussions. We further acknowledge support from the European Commission, Q-ESSENCE (No. 248095), ERC Advanced Senior Grant (QIT4QAD), QUILMI (No. 295293), EQUAM (No. 323714), PICQUE (No. 608062), GRASP (No. 613024) and the ERA-Net CHISTERA project QUASAR, the John Templeton Foundation, the Vienna Center for Quantum Science and Technology (VCQ), the Austrian Nanoinitiative NAP Platon, the Austrian Science Fund (FWF) through the SFB FoQuS (No. F4006-N16), START (No. Y585-N20) and the doctoral programme CoQuS, the Vienna Science and Technology Fund (WWTF) under grant ICT12-041, and the Air Force Office of Scientific Research, Air Force Material Command, United States Air Force, under grant number FA8655-11-1-3004. XSM was supported by a Marie Curie International Outgoing Fellowship within the 7th European Community Framework Programme. Y.H.C., Z.X.G. and L. M. D. thank H.-C. Jiang for helpful discussion and acknowledge support from the NBRPC (973 Program) 2011CBA00300 (2011CBA00302) and the DARPA OLE program.

Austrian Fields of Science 2012

103025 Quantum mechanics

Keywords

ATOMIC MOTT INSULATOR
TRAPPED IONS
PHASE-TRANSITION
SUDDEN-DEATH
ENTANGLEMENT
COMPUTATION
COMPUTERS
DYNAMICS
PHYSICS
QUBITS

Access to Document

10.1038/srep03583Licence: CC BY-NC-ND 3.0

Cite this

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title = "Towards photonic quantum simulation of ground states of frustrated Heisenberg spin systems",

abstract = "Photonic quantum simulators are promising candidates for providing insight into other small- to medium-sized quantum systems. Recent experiments have shown that photonic quantum systems have the advantage to exploit quantum interference for the quantum simulation of the ground state of Heisenberg spin systems. Here we experimentally characterize this quantum interference at a tuneable beam splitter and further investigate the measurement-induced interactions of a simulated four-spin system by comparing the entanglement dynamics using pairwise concurrence. We also study theoretically a four-site square lattice with next-nearest neighbor interactions and a six-site checkerboard lattice, which might be in reach of current technology.",

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AU - Ma, Xiaosong

AU - Dakic, Borivoje

AU - Kropatschek, Sebastian

AU - Naylor, William

AU - Chan, Yang-hao

AU - Gong, Zhe-xuan

AU - Duan, Lu-ming

AU - Zeilinger, Anton

AU - Walther, Philip

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N2 - Photonic quantum simulators are promising candidates for providing insight into other small- to medium-sized quantum systems. Recent experiments have shown that photonic quantum systems have the advantage to exploit quantum interference for the quantum simulation of the ground state of Heisenberg spin systems. Here we experimentally characterize this quantum interference at a tuneable beam splitter and further investigate the measurement-induced interactions of a simulated four-spin system by comparing the entanglement dynamics using pairwise concurrence. We also study theoretically a four-site square lattice with next-nearest neighbor interactions and a six-site checkerboard lattice, which might be in reach of current technology.

AB - Photonic quantum simulators are promising candidates for providing insight into other small- to medium-sized quantum systems. Recent experiments have shown that photonic quantum systems have the advantage to exploit quantum interference for the quantum simulation of the ground state of Heisenberg spin systems. Here we experimentally characterize this quantum interference at a tuneable beam splitter and further investigate the measurement-induced interactions of a simulated four-spin system by comparing the entanglement dynamics using pairwise concurrence. We also study theoretically a four-site square lattice with next-nearest neighbor interactions and a six-site checkerboard lattice, which might be in reach of current technology.

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KW - TRAPPED IONS

KW - PHASE-TRANSITION

KW - SUDDEN-DEATH

KW - ENTANGLEMENT

KW - COMPUTATION

KW - COMPUTERS

KW - DYNAMICS

KW - PHYSICS

KW - QUBITS

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Towards photonic quantum simulation of ground states of frustrated Heisenberg spin systems

Abstract

Funding

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Fingerprint

GRASP: GRAPHENE-BASED SINGLE-PHOTON NONLINEAR OPTICAL DEVICES

EQuaM: Emulators of Quantum Frustrated Magnetism

PICQUE: Photonic Integrated Compound Quantum Encoding

Cite this

Towards photonic quantum simulation of ground states of frustrated Heisenberg spin systems

Abstract

Funding

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Fingerprint

Projects

GRASP: GRAPHENE-BASED SINGLE-PHOTON NONLINEAR OPTICAL DEVICES

EQuaM: Emulators of Quantum Frustrated Magnetism

PICQUE: Photonic Integrated Compound Quantum Encoding

Cite this