Mediated Interactions beyond the Nearest Neighbor in an Array of Superconducting Qubits

We consider mediated interactions in an array of floating transmons, where each qubit capacitor consists of two superconducting pads galvanically isolated from ground. Each such pair contributes two quantum degrees of freedom, one of which is used as a qubit, while the other remains fixed. Howeve...

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Main Authors: Yanay, Yariv, Braumüller, Jochen, Orlando, Terry P, Gustavsson, Simon, Tahan, Charles, Oliver, William D
Other Authors: Massachusetts Institute of Technology. Research Laboratory of Electronics
Format: Article
Language:English
Published: American Physical Society (APS) 2022
Online Access:https://hdl.handle.net/1721.1/143814
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author Yanay, Yariv
Braumüller, Jochen
Orlando, Terry P
Gustavsson, Simon
Tahan, Charles
Oliver, William D
author2 Massachusetts Institute of Technology. Research Laboratory of Electronics
author_facet Massachusetts Institute of Technology. Research Laboratory of Electronics
Yanay, Yariv
Braumüller, Jochen
Orlando, Terry P
Gustavsson, Simon
Tahan, Charles
Oliver, William D
author_sort Yanay, Yariv
collection MIT
description We consider mediated interactions in an array of floating transmons, where each qubit capacitor consists of two superconducting pads galvanically isolated from ground. Each such pair contributes two quantum degrees of freedom, one of which is used as a qubit, while the other remains fixed. However, these extraneous modes can generate coupling between the qubit modes that extends beyond the nearest neighbor. We present a general formalism describing the formation of this coupling and calculate it for a one-dimensional chain of transmons. We show that the strength of coupling and its range (that is, the exponential falloff) can be tuned independently via circuit design to realize a continuum from nearest-neighbor-only interactions to interactions that extend across the length of the chain. We present designs with capacitance and microwave simulations showing that various interaction configurations can be achieved in realistic circuits. Such coupling could be used in analog simulation of different quantum regimes or to increase connectivity in digital quantum systems. Thus mechanism must also be taken into account in other types of qubits with extraneous modes.
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spelling mit-1721.1/1438142023-02-09T16:22:43Z Mediated Interactions beyond the Nearest Neighbor in an Array of Superconducting Qubits Yanay, Yariv Braumüller, Jochen Orlando, Terry P Gustavsson, Simon Tahan, Charles Oliver, William D Massachusetts Institute of Technology. Research Laboratory of Electronics Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Department of Physics Lincoln Laboratory We consider mediated interactions in an array of floating transmons, where each qubit capacitor consists of two superconducting pads galvanically isolated from ground. Each such pair contributes two quantum degrees of freedom, one of which is used as a qubit, while the other remains fixed. However, these extraneous modes can generate coupling between the qubit modes that extends beyond the nearest neighbor. We present a general formalism describing the formation of this coupling and calculate it for a one-dimensional chain of transmons. We show that the strength of coupling and its range (that is, the exponential falloff) can be tuned independently via circuit design to realize a continuum from nearest-neighbor-only interactions to interactions that extend across the length of the chain. We present designs with capacitance and microwave simulations showing that various interaction configurations can be achieved in realistic circuits. Such coupling could be used in analog simulation of different quantum regimes or to increase connectivity in digital quantum systems. Thus mechanism must also be taken into account in other types of qubits with extraneous modes. 2022-07-18T16:18:43Z 2022-07-18T16:18:43Z 2022-03-25 2022-07-18T16:15:41Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/143814 Yanay, Yariv, Braumüller, Jochen, Orlando, Terry P, Gustavsson, Simon, Tahan, Charles et al. 2022. "Mediated Interactions beyond the Nearest Neighbor in an Array of Superconducting Qubits." Physical Review Applied, 17 (3). en 10.1103/physrevapplied.17.034060 Physical Review Applied Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS
spellingShingle Yanay, Yariv
Braumüller, Jochen
Orlando, Terry P
Gustavsson, Simon
Tahan, Charles
Oliver, William D
Mediated Interactions beyond the Nearest Neighbor in an Array of Superconducting Qubits
title Mediated Interactions beyond the Nearest Neighbor in an Array of Superconducting Qubits
title_full Mediated Interactions beyond the Nearest Neighbor in an Array of Superconducting Qubits
title_fullStr Mediated Interactions beyond the Nearest Neighbor in an Array of Superconducting Qubits
title_full_unstemmed Mediated Interactions beyond the Nearest Neighbor in an Array of Superconducting Qubits
title_short Mediated Interactions beyond the Nearest Neighbor in an Array of Superconducting Qubits
title_sort mediated interactions beyond the nearest neighbor in an array of superconducting qubits
url https://hdl.handle.net/1721.1/143814
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