Papers
Topics
Authors
Recent
Search
2000 character limit reached

Quantum sensing in the fractional Fourier domain

Published 6 May 2024 in quant-ph | (2405.03896v1)

Abstract: Certain quantum sensing protocols rely on qubits that are initialized, coherently driven in the presence of a stimulus to be measured, then read out. Most widely employed pulse sequences used to drive sensing qubits act locally in either the time or frequency domain. We introduce a generalized set of sequences that effect a measurement in any fractional Fourier domain, i.e. along a linear trajectory of arbitrary angle through the time-frequency plane. Using an ensemble of nitrogen-vacancy centers we experimentally demonstrate advantages in sensing signals with time-varying spectra.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (31)
  1. C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017).
  2. S. D. Bass and M. Doser, Quantum sensing for particle physics, Nature Reviews Physics , 1 (2024).
  3. L. Cohen, Time-Frequency Analysis (Prentice Hall, 1995).
  4. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform (John Wiley & Sons, 2001).
  5. L. Viola and S. Lloyd, Dynamical suppression of decoherence in two-state quantum systems, Phys. Rev. A 58, 2733 (1998).
  6. L. Viola, E. Knill, and S. Lloyd, Dynamical decoupling of open quantum systems, Phys. Rev. Lett. 82, 2417 (1999).
  7. D. Vitali and P. Tombesi, Using parity kicks for decoherence control, Phys. Rev. A 59, 4178 (1999).
  8. W. M. Witzel and S. D. Sarma, Multiple-pulse coherence enhancement of solid state spin qubits, Phys. Rev. Lett. 98, 077601 (2007).
  9. C. A. Ryan, J. S. Hodges, and D. G. Cory, Robust decoupling techniques to extend quantum coherence in diamond, Phys. Rev. Lett. 105, 200402 (2010).
  10. Y. Sagi, I. Almog, and N. Davidson, Process tomography of dynamical decoupling in a dense cold atomic ensemble, Phys. Rev. Lett. 105, 053201 (2010).
  11. A. Ajoy, G. A. Álvarez, and D. Suter, Optimal pulse spacing for dynamical decoupling in the presence of a purely dephasing spin bath, Phys. Rev. A 83, 032303 (2011).
  12. G. A. Álvarez and D. Suter, Measuring the spectrum of colored noise by dynamical decoupling, Phys. Rev. Lett. 107, 230501 (2011).
  13. E. Wigner, On the quantum correction for thermodynamic equilibrium, Phys. Rev. 40, 749 (1932).
  14. J. Ville, Theorie et application dela notion de signal analysis, Câbles et Transmissions 2, 61 (1948).
  15. T. M. Cover and J. A. Thomas, Elements of Information Theory (John Wiley & Sons, 2005).
  16. O. Kern and G. Alber, Controlling quantum systems by embedded dynamical decoupling schemes, Phys. Rev. Lett. 95, 250501 (2005).
  17. K. Khodjasteh and D. A. Lidar, Fault-tolerant quantum dynamical decoupling, Phys. Rev. Lett. 95, 180501 (2005).
  18. L. Viola and E. Knill, Random decoupling schemes for quantum dynamical control and error suppression, Phys. Rev. Lett. 94, 060502 (2005).
  19. D. Dhar, L. K. Grover, and S. M. Roy, Preserving quantum states using inverting pulses: A super-Zeno effect, Phys. Rev. Lett. 96, 100405 (2006).
  20. G. S. Uhrig, Keeping a quantum bit alive by optimized π𝜋\piitalic_π-pulse sequences, Phys. Rev. Lett. 98, 100504 (2007).
  21. G. Gordon, G. Kurizki, and D. A. Lidar, Optimal dynamical decoherence control of a qubit, Phys. Rev. Lett. 101, 010403 (2008).
  22. H. Uys, M. J. Biercuk, and J. J. Bollinger, Optimized noise filtration through dynamical decoupling, Phys. Rev. Lett. 103, 040501 (2009).
  23. G. S. Uhrig, Concatenated control sequences based on optimized dynamic decoupling, Phys. Rev. Lett. 102, 120502 (2009).
  24. Y. Pan, Z.-R. Xi, and W. Cui, Optimal dynamical decoupling sequence for the Ohmic spectrum, Phys. Rev. A 81, 022309 (2010).
  25. S. Pasini and G. S. Uhrig, Optimized dynamical decoupling for power-law noise spectra, Phys. Rev. A 81, 012309 (2010).
  26. J. Clausen, G. Bensky, and G. Kurizki, Bath-optimized minimal-energy protection of quantum operations from decoherence, Phys. Rev. Lett. 104, 040401 (2010).
  27. J. R. West, B. H. Fong, and D. A. Lidar, Near-optimal dynamical decoupling of a qubit, Phys. Rev. Lett. 104, 130501 (2010).
  28. K. Khodjasteh, T. Erdélyi, and L. Viola, Limits on preserving quantum coherence using multipulse control, Phys. Rev. A 83, 020305 (2011).
  29. B. Reynders and S. Pollin, Chirp spread spectrum as a modulation technique for long range communication, in 2016 Symposium on Communications and Vehicular Technologies (SCVT) (2016) pp. 1–5.
  30. R. D. Allert, K. D. Briegel, and D. B. Bucher, Advances in nano-and microscale nmr spectroscopy using diamond quantum sensors, Chemical Communications 58, 8165 (2022).
  31. A. Najmi, The Wigner distribution: A time-frequency analysis tool, Johns Hopkins APL Technical Digest 15, 298 (1994).

Summary

No one has generated a summary of this paper yet.

Paper to Video (Beta)

No one has generated a video about this paper yet.

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Collections

Sign up for free to add this paper to one or more collections.

Tweets

Sign up for free to view the 1 tweet with 0 likes about this paper.