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  • Kjaergaard, M.Massachusetts Institute of Technology (MIT) (author)

Demonstration of Density Matrix Exponentiation Using a Superconducting Quantum Processor

  • Article/chapterEnglish2022

Publisher, publication year, extent ...

  • 2022
  • electronicrdacarrier

Numbers

  • LIBRIS-ID:oai:research.chalmers.se:5942b686-ef65-4893-997b-cef79e432f7d
  • https://doi.org/10.1103/PhysRevX.12.011005DOI
  • https://research.chalmers.se/publication/528313URI

Supplementary language notes

  • Language:English
  • Summary in:English

Part of subdatabase

Classification

  • Subject category:art swepub-publicationtype
  • Subject category:ref swepub-contenttype

Notes

  • Quantum computers hold the potential to outperform classical supercomputers at certain tasks. To implement algorithms on a quantum computer, programmers use conventional computers and hardware to create a set of classical control signals that implement a desired quantum algorithm. However, feeding the quantum information forward requires an inefficient conversion: extraction of quantum information, conversion to classical control signals, and reinjection of those signals into the system to implement quantum operations. Here, we demonstrate a more natively quantum strategy to programming quantum computers. Our approach uses the density matrix exponentiation (DME) protocol, a general technique for using a quantum state to enact a quantum operation. It can be thought of as a subroutine with which programmers can turn multiple copies of a quantum state into instructions for next steps in a quantum algorithm.We implement DME using two qubits in a superconducting quantum processor. Our implementation relies on a high-fidelity two-qubit gate and a novel technique called quantum measurement emulation to approximately reset a known quantum state. These developments enable us to demonstrate the DME protocol for the first time on a small-scale quantum processor and benchmark its performance.While DME was originally proposed in the context of a specific quantum machine-learning algorithm, it may also represent a fundamentally different approach to quantum programming. It allows the possibility of encoding quantum algorithms directly into quantum states and executing those algorithms on other quantum states, enabling a new class of efficient quantum algorithms.

Subject headings and genre

Added entries (persons, corporate bodies, meetings, titles ...)

  • Schwartz, M. E.MIT Lincoln Laboratory (author)
  • Greene, A.Massachusetts Institute of Technology (MIT) (author)
  • Samach, G.Massachusetts Institute of Technology (MIT),MIT Lincoln Laboratory (author)
  • Bengtsson, Andreas,1991Chalmers tekniska högskola,Chalmers University of Technology,Massachusetts Institute of Technology (MIT)(Swepub:cth)andbe (author)
  • O'Keeffe, M.MIT Lincoln Laboratory (author)
  • McNally, C. M.Massachusetts Institute of Technology (MIT) (author)
  • Braumüller, JochenMassachusetts Institute of Technology (MIT) (author)
  • Kim, David K.MIT Lincoln Laboratory (author)
  • Krantz, Philip,1984Massachusetts Institute of Technology (MIT)(Swepub:cth)philipk (author)
  • Marvian, M.Massachusetts Institute of Technology (MIT) (author)
  • Melville, AlexanderMIT Lincoln Laboratory (author)
  • Niedzielski, Bethany M.MIT Lincoln Laboratory (author)
  • Sung, Y.Massachusetts Institute of Technology (MIT) (author)
  • Winik, RoniMassachusetts Institute of Technology (MIT) (author)
  • Yoder, Jonilyn L.MIT Lincoln Laboratory (author)
  • Rosenberg, D.MIT Lincoln Laboratory (author)
  • Obenland, K.MIT Lincoln Laboratory (author)
  • Lloyd, S.Massachusetts Institute of Technology (MIT) (author)
  • Orlando, T. P.Massachusetts Institute of Technology (MIT) (author)
  • Marvian, I.Duke University (author)
  • Gustavsson, S.Massachusetts Institute of Technology (MIT) (author)
  • Oliver, W. D.Massachusetts Institute of Technology (MIT),MIT Lincoln Laboratory (author)
  • Massachusetts Institute of Technology (MIT)MIT Lincoln Laboratory (creator_code:org_t)

Related titles

  • In:Physical Review X12:12160-3308

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