Mediated gates between spin qubits

Jianjia Fei, Dong Zhou, Yun Pil Shim, Sangchul Oh, Xuedong Hu, Mark Friesen

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In a typical quantum circuit, nonlocal quantum gates are applied to nonproximal qubits. If the underlying physical interactions are short-range (e.g., exchange interactions between spins), intermediate swap operations must be introduced, thus increasing the circuit depth. Here we develop a class of "mediated" gates for spin qubits, which act on nonproximal spins via intermediate ancilla qubits. At the end of the operation, the ancillae return to their initial states. We show how these mediated gates can be used (1) to generate arbitrary quantum states and (2) to construct arbitrary quantum gates. We provide some explicit examples of circuits that generate common states [e.g., Bell, Greenberger-Horne-Zeilinger (GHZ), W, and cluster states] and gates (e.g., √swap, swap, cnot, and Toffoli gates). We show that the depths of these circuits are often shorter than those of conventional swap-based circuits. We also provide an explicit experimental proposal for implementing a mediated gate in a triple-quantum-dot system.

Original languageEnglish
Article number062328
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume86
Issue number6
DOIs
Publication statusPublished - 26 Dec 2012
Externally publishedYes

Fingerprint

bells
proposals
quantum dots
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Mediated gates between spin qubits. / Fei, Jianjia; Zhou, Dong; Shim, Yun Pil; Oh, Sangchul; Hu, Xuedong; Friesen, Mark.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 86, No. 6, 062328, 26.12.2012.

Research output: Contribution to journalArticle

Fei, Jianjia ; Zhou, Dong ; Shim, Yun Pil ; Oh, Sangchul ; Hu, Xuedong ; Friesen, Mark. / Mediated gates between spin qubits. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2012 ; Vol. 86, No. 6.
@article{2eb3de470dce4f4fa15c183d775c434e,
title = "Mediated gates between spin qubits",
abstract = "In a typical quantum circuit, nonlocal quantum gates are applied to nonproximal qubits. If the underlying physical interactions are short-range (e.g., exchange interactions between spins), intermediate swap operations must be introduced, thus increasing the circuit depth. Here we develop a class of {"}mediated{"} gates for spin qubits, which act on nonproximal spins via intermediate ancilla qubits. At the end of the operation, the ancillae return to their initial states. We show how these mediated gates can be used (1) to generate arbitrary quantum states and (2) to construct arbitrary quantum gates. We provide some explicit examples of circuits that generate common states [e.g., Bell, Greenberger-Horne-Zeilinger (GHZ), W, and cluster states] and gates (e.g., √swap, swap, cnot, and Toffoli gates). We show that the depths of these circuits are often shorter than those of conventional swap-based circuits. We also provide an explicit experimental proposal for implementing a mediated gate in a triple-quantum-dot system.",
author = "Jianjia Fei and Dong Zhou and Shim, {Yun Pil} and Sangchul Oh and Xuedong Hu and Mark Friesen",
year = "2012",
month = "12",
day = "26",
doi = "10.1103/PhysRevA.86.062328",
language = "English",
volume = "86",
journal = "Physical Review A - Atomic, Molecular, and Optical Physics",
issn = "1050-2947",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Mediated gates between spin qubits

AU - Fei, Jianjia

AU - Zhou, Dong

AU - Shim, Yun Pil

AU - Oh, Sangchul

AU - Hu, Xuedong

AU - Friesen, Mark

PY - 2012/12/26

Y1 - 2012/12/26

N2 - In a typical quantum circuit, nonlocal quantum gates are applied to nonproximal qubits. If the underlying physical interactions are short-range (e.g., exchange interactions between spins), intermediate swap operations must be introduced, thus increasing the circuit depth. Here we develop a class of "mediated" gates for spin qubits, which act on nonproximal spins via intermediate ancilla qubits. At the end of the operation, the ancillae return to their initial states. We show how these mediated gates can be used (1) to generate arbitrary quantum states and (2) to construct arbitrary quantum gates. We provide some explicit examples of circuits that generate common states [e.g., Bell, Greenberger-Horne-Zeilinger (GHZ), W, and cluster states] and gates (e.g., √swap, swap, cnot, and Toffoli gates). We show that the depths of these circuits are often shorter than those of conventional swap-based circuits. We also provide an explicit experimental proposal for implementing a mediated gate in a triple-quantum-dot system.

AB - In a typical quantum circuit, nonlocal quantum gates are applied to nonproximal qubits. If the underlying physical interactions are short-range (e.g., exchange interactions between spins), intermediate swap operations must be introduced, thus increasing the circuit depth. Here we develop a class of "mediated" gates for spin qubits, which act on nonproximal spins via intermediate ancilla qubits. At the end of the operation, the ancillae return to their initial states. We show how these mediated gates can be used (1) to generate arbitrary quantum states and (2) to construct arbitrary quantum gates. We provide some explicit examples of circuits that generate common states [e.g., Bell, Greenberger-Horne-Zeilinger (GHZ), W, and cluster states] and gates (e.g., √swap, swap, cnot, and Toffoli gates). We show that the depths of these circuits are often shorter than those of conventional swap-based circuits. We also provide an explicit experimental proposal for implementing a mediated gate in a triple-quantum-dot system.

UR - http://www.scopus.com/inward/record.url?scp=84871768247&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84871768247&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.86.062328

DO - 10.1103/PhysRevA.86.062328

M3 - Article

AN - SCOPUS:84871768247

VL - 86

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 6

M1 - 062328

ER -