DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: SWAP Gate between a Majorana Qubit and a Parity-Protected Superconducting Qubit

Abstract

High fidelity quantum information processing requires a combination of fast gates and long-lived quantum memories. Here, in this Letter, we propose a hybrid architecture, where a parity-protected superconducting qubit is directly coupled to a Majorana qubit, which plays the role of a quantum memory. The superconducting qubit is based upon a π-periodic Josephson junction realized with gate-tunable semiconducting wires, where the tunneling of individual Cooper pairs is suppressed. One of the wires additionally contains four Majorana zero modes that define a qubit. We demonstrate that this enables the implementation of a SWAP gate, allowing for the transduction of quantum information between the topological and conventional qubit. This architecture combines fast gates, which can be realized with the superconducting qubit, with a topologically protected Majorana memory.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Univ. of California, Berkeley, CA (United States); ; National Research Council (CNR) (Italy)
  2. Univ. of California, Berkeley, CA (United States); Harvard Univ., Cambridge, MA (United States)
  3. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); European Union (EU)
OSTI Identifier:
1963835
Grant/Contract Number:  
AC02-05CH11231; 841894
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 129; Journal Issue: 17; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Majorana fermions; topological quantum computing; superconducting qubits

Citation Formats

Chirolli, Luca, Yao, Norman Y., and Moore, Joel E. SWAP Gate between a Majorana Qubit and a Parity-Protected Superconducting Qubit. United States: N. p., 2022. Web. doi:10.1103/physrevlett.129.177701.
Chirolli, Luca, Yao, Norman Y., & Moore, Joel E. SWAP Gate between a Majorana Qubit and a Parity-Protected Superconducting Qubit. United States. https://doi.org/10.1103/physrevlett.129.177701
Chirolli, Luca, Yao, Norman Y., and Moore, Joel E. Thu . "SWAP Gate between a Majorana Qubit and a Parity-Protected Superconducting Qubit". United States. https://doi.org/10.1103/physrevlett.129.177701. https://www.osti.gov/servlets/purl/1963835.
@article{osti_1963835,
title = {SWAP Gate between a Majorana Qubit and a Parity-Protected Superconducting Qubit},
author = {Chirolli, Luca and Yao, Norman Y. and Moore, Joel E.},
abstractNote = {High fidelity quantum information processing requires a combination of fast gates and long-lived quantum memories. Here, in this Letter, we propose a hybrid architecture, where a parity-protected superconducting qubit is directly coupled to a Majorana qubit, which plays the role of a quantum memory. The superconducting qubit is based upon a π-periodic Josephson junction realized with gate-tunable semiconducting wires, where the tunneling of individual Cooper pairs is suppressed. One of the wires additionally contains four Majorana zero modes that define a qubit. We demonstrate that this enables the implementation of a SWAP gate, allowing for the transduction of quantum information between the topological and conventional qubit. This architecture combines fast gates, which can be realized with the superconducting qubit, with a topologically protected Majorana memory.},
doi = {10.1103/physrevlett.129.177701},
journal = {Physical Review Letters},
number = 17,
volume = 129,
place = {United States},
year = {Thu Oct 20 00:00:00 EDT 2022},
month = {Thu Oct 20 00:00:00 EDT 2022}
}

Works referenced in this record:

Coulomb Blockade of a Nearly Open Majorana Island
journal, January 2019


Probing Majorana edge states with a flux qubit
journal, August 2011


Design aspects of superconducting-phase quantum bits
journal, April 2001


Evolution of Nanowire Transmon Qubits and Their Coherence in a Magnetic Field
journal, March 2018


Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
journal, August 2010


Universal quantum computation with ideal Clifford gates and noisy ancillas
journal, February 2005


Helical Liquids and Majorana Bound States in Quantum Wires
journal, October 2010


Realization of Microwave Quantum Circuits Using Hybrid Superconducting-Semiconducting Nanowire Josephson Elements
journal, September 2015


Protected gates for superconducting qubits
journal, May 2013


Microwave transitions as a signature of coherent parity mixing effects in the Majorana-transmon qubit
journal, September 2014

  • Ginossar, Eran; Grosfeld, Eytan
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5772

Semiconductor-Nanowire-Based Superconducting Qubit
journal, September 2015


Singlet-Doublet Transitions of a Quantum Dot Josephson Junction Detected in a Transmon Circuit
journal, July 2022


New directions in the pursuit of Majorana fermions in solid state systems
journal, June 2012


Unpaired Majorana fermions in quantum wires
journal, October 2001


Proposal for Coherent Coupling of Majorana Zero Modes and Superconducting Qubits Using the 4 π Josephson Effect
journal, September 2013


Coherent manipulation of an Andreev spin qubit
journal, July 2021


Teoria simmetrica dell’elettrone e del positrone
journal, April 1937


Quantum Computing in the NISQ era and beyond
journal, August 2018


From Andreev to Majorana bound states in hybrid superconductor–semiconductor nanowires
journal, September 2020

  • Prada, Elsa; San-Jose, Pablo; de Moor, Michiel W. A.
  • Nature Reviews Physics, Vol. 2, Issue 10
  • DOI: 10.1038/s42254-020-0228-y

Non-Abelian statistics and topological quantum information processing in 1D wire networks
journal, February 2011

  • Alicea, Jason; Oreg, Yuval; Refael, Gil
  • Nature Physics, Vol. 7, Issue 5
  • DOI: 10.1038/nphys1915

Fermion parity measurement and control in Majorana circuit quantum electrodynamics
journal, August 2015


Majorana zero modes in superconductor–semiconductor heterostructures
journal, May 2018

  • Lutchyn, R. M.; Bakkers, E. P. A. M.; Kouwenhoven, L. P.
  • Nature Reviews Materials, Vol. 3, Issue 5
  • DOI: 10.1038/s41578-018-0003-1

Topologically Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
journal, April 2005


Spectral response of Josephson junctions with low-energy quasiparticles
journal, January 2019


Balanced double-loop mesoscopic interferometer based on Josephson proximity nanojunctions
journal, January 2014

  • Ronzani, Alberto; Altimiras, Carles; Giazotto, Francesco
  • Applied Physics Letters, Vol. 104, Issue 3
  • DOI: 10.1063/1.4862477

Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubits
journal, September 2020


Superconducting circuit protected by two-Cooper-pair tunneling
journal, January 2020


Photon-assisted tunnelling of zero modes in a Majorana wire
journal, April 2020


Anyonic interferometry without anyons: how a flux qubit can read out a topological qubit
journal, December 2010


Protected Josephson Rhombus Chains
journal, April 2014


Pairing of Cooper Pairs in a Fully Frustrated Josephson-Junction Chain
journal, May 2002


Non-Abelian Statistics of Half-Quantum Vortices in p -Wave Superconductors
journal, January 2001


Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
journal, February 2010


Anomalous periodicity of supercurrent in long frustrated Josephson-junction rhombi chains
journal, November 2004


Parity-Protected Superconductor-Semiconductor Qubit
journal, July 2020


Search for Majorana Fermions in Superconductors
journal, April 2013


Milestones Toward Majorana-Based Quantum Computing
journal, August 2016


Superconducting nanocircuits for topologically protected qubits
journal, November 2008

  • Gladchenko, Sergey; Olaya, David; Dupont-Ferrier, Eva
  • Nature Physics, Vol. 5, Issue 1
  • DOI: 10.1038/nphys1151

Non-Abelian anyons and topological quantum computation
journal, September 2008


Coulomb stability of the 4 π -periodic Josephson effect of Majorana fermions
journal, November 2011


Exponential protection of zero modes in Majorana islands
journal, March 2016

  • Albrecht, S. M.; Higginbotham, A. P.; Madsen, M.
  • Nature, Vol. 531, Issue 7593
  • DOI: 10.1038/nature17162

Fault-tolerant quantum computation by anyons
journal, January 2003


Interface between Topological and Superconducting Qubits
journal, March 2011


Majorana zero modes and topological quantum computation
journal, October 2015

  • Sarma, Sankar Das; Freedman, Michael; Nayak, Chetan
  • npj Quantum Information, Vol. 1, Issue 1
  • DOI: 10.1038/npjqi.2015.1

Topological Quantum Buses: Coherent Quantum Information Transfer between Topological and Conventional Qubits
journal, March 2011


The top-transmon: a hybrid superconducting qubit for parity-protected quantum computation
journal, September 2011


Enhanced Coherence in Superconducting Circuits via Band Engineering
journal, May 2021


Engineered platforms for topological superconductivity and Majorana zero modes
journal, July 2021


Experimental Realization of a Protected Superconducting Circuit Derived from the 0 π Qubit
journal, March 2021


Towards universal topological quantum computation in the ν = 5 2 fractional quantum Hall state
journal, June 2006


Majorana returns
journal, September 2009


Superconducting islands with topological Josephson junctions based on semiconductor nanowires
journal, September 2020