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MacDonell RJ, Navickas T, Wohlers-Reichel TF, Valahu CH, Rao AD, Millican MJ, Currington MA, Biercuk MJ, Tan TR, Hempel C, Kassal I. Predicting molecular vibronic spectra using time-domain analog quantum simulation. Chem Sci 2023; 14:9439-9451. [PMID: 37712022 PMCID: PMC10498668 DOI: 10.1039/d3sc02453a] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2023] [Accepted: 08/09/2023] [Indexed: 09/16/2023] Open
Abstract
Spectroscopy is one of the most accurate probes of the molecular world. However, predicting molecular spectra accurately is computationally difficult because of the presence of entanglement between electronic and nuclear degrees of freedom. Although quantum computers promise to reduce this computational cost, existing quantum approaches rely on combining signals from individual eigenstates, an approach whose cost grows exponentially with molecule size. Here, we introduce a method for scalable analog quantum simulation of molecular spectroscopy: by performing simulations in the time domain, the number of required measurements depends on the desired spectral range and resolution, not molecular size. Our approach can treat more complicated molecular models than previous ones, requires fewer approximations, and can be extended to open quantum systems with minimal overhead. We present a direct mapping of the underlying problem of time-domain simulation of molecular spectra to the degrees of freedom and control fields available in a trapped-ion quantum simulator. We experimentally demonstrate our algorithm on a trapped-ion device, exploiting both intrinsic electronic and motional degrees of freedom, showing excellent quantitative agreement for a single-mode vibronic photoelectron spectrum of SO2.
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Affiliation(s)
- Ryan J MacDonell
- School of Chemistry, University of Sydney NSW 2006 Australia
- ARC Centre of Excellence for Engineered Quantum Systems, University of Sydney NSW 2006 Australia
- University of Sydney Nano Institute, University of Sydney NSW 2006 Australia
| | - Tomas Navickas
- School of Physics, University of Sydney NSW 2006 Australia
- ARC Centre of Excellence for Engineered Quantum Systems, University of Sydney NSW 2006 Australia
| | - Tim F Wohlers-Reichel
- School of Physics, University of Sydney NSW 2006 Australia
- ARC Centre of Excellence for Engineered Quantum Systems, University of Sydney NSW 2006 Australia
| | - Christophe H Valahu
- School of Physics, University of Sydney NSW 2006 Australia
- ARC Centre of Excellence for Engineered Quantum Systems, University of Sydney NSW 2006 Australia
| | - Arjun D Rao
- School of Physics, University of Sydney NSW 2006 Australia
- ARC Centre of Excellence for Engineered Quantum Systems, University of Sydney NSW 2006 Australia
| | - Maverick J Millican
- School of Physics, University of Sydney NSW 2006 Australia
- ARC Centre of Excellence for Engineered Quantum Systems, University of Sydney NSW 2006 Australia
| | | | - Michael J Biercuk
- School of Physics, University of Sydney NSW 2006 Australia
- ARC Centre of Excellence for Engineered Quantum Systems, University of Sydney NSW 2006 Australia
| | - Ting Rei Tan
- School of Physics, University of Sydney NSW 2006 Australia
- ARC Centre of Excellence for Engineered Quantum Systems, University of Sydney NSW 2006 Australia
| | - Cornelius Hempel
- School of Physics, University of Sydney NSW 2006 Australia
- ARC Centre of Excellence for Engineered Quantum Systems, University of Sydney NSW 2006 Australia
- ETH Zurich-PSI Quantum Computing Hub, Laboratory for Nano and Quantum Technologies (LNQ), Paul Scherrer Institut 5232 Villigen Switzerland
| | - Ivan Kassal
- School of Chemistry, University of Sydney NSW 2006 Australia
- ARC Centre of Excellence for Engineered Quantum Systems, University of Sydney NSW 2006 Australia
- University of Sydney Nano Institute, University of Sydney NSW 2006 Australia
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2
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Katz O, Monroe C. Programmable Quantum Simulations of Bosonic Systems with Trapped Ions. PHYSICAL REVIEW LETTERS 2023; 131:033604. [PMID: 37540877 DOI: 10.1103/physrevlett.131.033604] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2022] [Revised: 05/14/2023] [Accepted: 06/23/2023] [Indexed: 08/06/2023]
Abstract
Trapped atomic ion crystals are a leading platform for quantum simulations of spin systems, with programmable and long-range spin-spin interactions mediated by excitations of phonons in the crystal. We describe a complementary approach for quantum simulations of bosonic systems using phonons in trapped-ion crystals, here mediated by excitations of the trapped-ion spins. The scheme enables a high degree of programability across a dense graph of bosonic couplings, utilizing long-lived collective phonon modes in a trapped-ion chain. As such, it is well suited for tackling hard problems such as boson sampling and simulations of long-range bosonic and spin-boson Hamiltonians.
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Affiliation(s)
- Or Katz
- Duke Quantum Center, Duke University, Durham, North Carolina 27701, USA
- Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
| | - Christopher Monroe
- Duke Quantum Center, Duke University, Durham, North Carolina 27701, USA
- Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
- Department of Physics, Duke University, Durham, North Carolina 27708, USA
- IonQ, Inc., College Park, Maryland 20740, USA
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3
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Cui K, Valencia J, Boyce KT, Clements ER, Leibrandt DR, Hume DB. Scalable Quantum Logic Spectroscopy. PHYSICAL REVIEW LETTERS 2022; 129:193603. [PMID: 36399738 DOI: 10.1103/physrevlett.129.193603] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/17/2022] [Revised: 07/24/2022] [Accepted: 09/30/2022] [Indexed: 06/16/2023]
Abstract
In quantum logic spectroscopy (QLS), one species of trapped ion is used as a sensor to detect the state of an otherwise inaccessible ion species. This extends precision measurements to a broader class of atomic and molecular systems for applications like atomic clocks and tests of fundamental physics. Here, we develop a new technique based on a Schrödinger cat interferometer to address the problem of scaling QLS to larger ion numbers. We demonstrate the basic features of this method using various combinations of ^{25}Mg^{+} logic ions and ^{27}Al^{+} spectroscopy ions. We observe higher detection efficiency by increasing the number of ^{25}Mg^{+} ions. Applied to multiple ^{27}Al^{+}, this method will improve the stability of high-accuracy optical clocks and could enable Heisenberg-limited QLS.
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Affiliation(s)
- Kaifeng Cui
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- HEP Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
- Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
| | - Jose Valencia
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - Kevin T Boyce
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - Ethan R Clements
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - David R Leibrandt
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - David B Hume
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
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4
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Keller J, Hou PY, McCormick KC, Cole DC, Erickson SD, Wu JJ, Wilson AC, Leibfried D. Quantum Harmonic Oscillator Spectrum Analyzers. PHYSICAL REVIEW LETTERS 2021; 126:250507. [PMID: 34241508 PMCID: PMC10807510 DOI: 10.1103/physrevlett.126.250507] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/20/2020] [Accepted: 04/08/2021] [Indexed: 06/13/2023]
Abstract
Characterization and suppression of noise are essential for the control of harmonic oscillators in the quantum regime. We measure the noise spectrum of a quantum harmonic oscillator from low frequency to near the oscillator resonance by sensing its response to amplitude modulated periodic drives with a qubit. Using the motion of a trapped ion, we experimentally demonstrate two different implementations with combined sensitivity to noise from 500 Hz to 600 kHz. We apply our method to measure the intrinsic noise spectrum of an ion trap potential in a previously unaccessed frequency range.
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Affiliation(s)
- Jonas Keller
- National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
| | - Pan-Yu Hou
- National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
| | - Katherine C McCormick
- National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
| | - Daniel C Cole
- National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA
| | - Stephen D Erickson
- National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
| | - Jenny J Wu
- National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
| | - Andrew C Wilson
- National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA
| | - Dietrich Leibfried
- National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA
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