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Probing and enhancing the quantum properties of solid-state spins for quantum simulators

DEMITRY FARFURNIK, NORTH CAROLINA STATE UNIVERSITY

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NCSU QUANTUM WORKSHOP

NOVEMBER 16TH, 2023

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Quantum Science and Technology: a New Era

Credit: IBM

Credit: QuTech, Delft

Credit: University of Basel

Computing & Simulation

Networking

Sensing

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Qubits: Base Building Blocks

 

 

General State:

 

Many qubits

Product State:

 

Entangled State

(Example for n=2: Bell State)

 

Measuring 1 affects 2

Independent Measurements

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Spin Ensembles Can Simulate Many-Body Dynamics

P. Cappellaro and M. D. Lukin, Phys. Rev. A 80, 032311 (2009)

Squeezed States

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Uncertainty to measure ensemble along a certain direction

Coherent States

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Ensembles of Spins Can be Used as Sensors

 

 

 

 

 

 

{

{

D. Le Sage et al., Nature 496, 486 (2013)

 

 

E. Farchi, Y. Ebert, D. Farfurnik et al., SPIN 07, 1740015 (2017)

 

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Adding a level: Optically-Active Spin Systems

 

 

 

 

Spin

Photonic

Transitions

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Simulators with Single Photons On-Chip

C. Sparrow et al., Nature 557, 660–667 (2018)

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Simulators with Optically-Active Spins in Cavities

Exact classical simulation so far limited to 2 Cavities and 4 emitters

But can be realized experimentally with optically-active spin systems

Example: Tavis-Cummings-Hubbard Model

Related work: J. Patton et al., All-Photonic Quantum Simulators with Spectrally Disordered Emitters, arXiv:2112.15469

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Simulators using Optically-Active Spins

  • Simulators: Many-body dynamics, photonic simulators on-chip, chains of spins in cavities
  • Requirements:
  • Control the spin state
  • Long coherence time of the spin - need to characterize and decouple from noise in the environment

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Different Approaches for Spin Control

 

 

 

Direct microwave

 

 

 

 

 

 

{

{

Two-Photon

Raman

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Goal: Getting the Best of Both Worlds by Realizing Hybrid Control

1. Microwave Control:

- Application of thousands of pulses of quantum information processing

2. Optical Control:

- Diffraction limited

- Straightforward polarization of nuclear baths

+

?

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Optical Control Enables Noise Spectroscopy (quantum dots)

Dynamics under pulse sequences

Numerical

analysis

Experimentally extracted noise spectra

D. Farfurnik et al., All-Optical Noise Spectroscopy of a Solid-State Spin, Nano Lett. 23, 1781-1786 (2023)

B = 1.2 T

B = 2 T

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K. Huang, D. Farfurnik, A. Seif, M. Hafezi, and Y-K. Liu, Random Pulse Sequences for Noise Spectroscopy, arXiv:2303.00909

 

Compressed Sensing of the noise spectrum

Random Pulse Sequences

Number of resources compared to standard techniques

Compressed Sensing Enables Next Generation Noise Spectroscopy

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Dynamical Decoupling Can Suppress Noise

Spin-echo pulse

More frequent pulses (dynamical decoupling) suppress higher frequency noise terms

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D. Farfurnik et al., Phys. Rev. B 92, 060301(R) (2015)

Dynamical Decoupling Protocols Preserve Arbitrary Spin States (NV Centers)

- Long coherence time of arbitrary spin state

- Thousands of control pulses

 

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Summary & Outlook

  • Optically-active spins are promising simulators
  • Techniques for efficient noise characterization and mitigation
  • Short Term Goals
    • Developing hybrid approaches of spin control
    • Realizing new protocols (e.g., compressed sensing)
    • Studying new spin systems
    • Developing better cavities
  • Long Term Goals:
    • Simulating complex problems
    • Sensing beyond the shot-noise limit

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Acknowledgements

Collaborators:

- Prof. Dan Stancil, Prof. Daryoosh Vashaee, Prof. Dror Baron

- Prof. Edo Waks, Prof. Mohammad Hafezi, Prof. Ron Walsworth, Prof. Yi-Kai Liu, Dr. Alireza Seif, Dr. Alessandro Rastelli (UMD)

- Dr. Allan Bracker, Dr. Samuel Carter (Naval Research Lab)

- Prof. Dmitry Budker (JGU Mainz)

- Prof. Nir Bar-Gill, Prof. Alex Retzker (Hebrew University)

Funding Sources:

Graduate, undergraduate, and postdoc research positions available!

Visit us at research.ece.ncsu.edu/farfurnik/ or email me at dfarfur@ncsu.edu

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Photonic Fabrication in Direct Bandgap Semiconductors

H,Singh*, D. Farfurnik* et al., Optical Transparency Induced by a Largely Purcell Enhanced Quantum Dot in a Polarization-Degenerate Cavity, Nano Lett. 22, 7959-7964 (2022) *- Equal Contributors.

Straightforward fabrication

Diode for deterministic

Charging & charge noise

mitigation

Straightforward fabrication

Etching of “sacrificial layer”

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New System to Study: Family of SiC Defects

S. Majety et al., J. Appl. Phys. 131, 130901 (2022)

Studied

Not widely studied

Efficient emission of single photons at telecom wavelength -> excellent candidates for quantum communication

  • Good coherence times
  • Similar emissions for different defects

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Scalable Spins Can Leverage the Quantum out of Sensing

 

P. Cappellaro and M. D. Lukin, Phys. Rev. A 80, 032311 (2009)

Highly Entangled

(“Squeezed”) States

Option 1: Applying NMR-

based pulse sequences

(Hamiltonian Engineering)

D. Farfurnik, Y. Horowicz, and N. Bar-Gill, Physical Review A 98, 033409 (2018)

K. I. O. Ben ‘Attar*, D. Farfurnik*, and N. Bar-Gill, Physical Review Research 2, 013061 (2020)

*-equal contributors

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Option 2: Leveraging

dissipation from

a cavity

E. G. Dalla Torre et al., Phys. Rev. Lett. 110, 120402 (2013)

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Photonic Properties of NV Centers are not Great

Goal: build spin-photon interface

for the generation of entanglement

Issues

Challenging to fabricate high quality cavities

Optical emission is inefficient (large phonon sideband)

K. Beha et al., J. Nanotechnol. 3, 895–908 (2012)

Approach: use optically-active spins with better photonic properties

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Criteria for an Efficient Spin-Photon Interface

 

 

 

  1. High dipole-cavity cooperativity

2. Efficient access to external light

 

 

 

Cavity

 

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Photonic Crystal Cavities Offer Strong Coupling but Poor Optical Access

 

Far Field Emission Mode

Z. Luo et al., Nano Lett. 19, 7072-7077 (2019)

“Strong coupling regime”, but access to light is poor

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Photonic Cavities Can Provide Photon Switching Capabilities

“Bullseye” cavity

Emission Mode

Cavity Reflectivity

 

H,Singh*, D. Farfurnik* et al., Optical Transparency Induced by a Largely Purcell Enhanced Quantum Dot in a Polarization-Degenerate Cavity, Nano Lett. 22, 7959-7964 (2022) *- Equal Contributors.

“Bullseye” cavity

Q factors ~ 1,200

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Future Direction: Photonic Repeaters Using Medium-Q Cavities

Requirement:

optical transition resonant with the cavity & one optical transition off resonant

  1. Increasing the cavity quality: surface treatment & algorithms of inverse design
  2. Using spins with large energy splitting

Present “Bullseye” cavity

 

 

 

 

 

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Promising Solid-state system : Quantum Dot Molecules

Two vertically-stacked quantum dots

  • Good optical properties & Large energy splitting

(also possible in Telecom, but haven’t studied yet)

  • Spin qubit not susceptible to microwave

fields: long spin coherence times, but requires

alternative approach for spin control

Related works: J.M. Daniels at al., Phys. Rev. B 88, 205307 (2013), K. X. Tran et al., Phys. Rev. Lett. 129, 027403 (2022),

Y. Tsuchimoto et al., PRX Quantum 3, 030336 (2022), D. Farfurnik et al., Phys. Rev. Applied 15, L031002 (2021)