Quantum sensing in the fractional Fourier domain
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.
- C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017).
- S. D. Bass and M. Doser, Quantum sensing for particle physics, Nature Reviews Physics , 1 (2024).
- L. Cohen, Time-Frequency Analysis (Prentice Hall, 1995).
- H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform (John Wiley & Sons, 2001).
- L. Viola and S. Lloyd, Dynamical suppression of decoherence in two-state quantum systems, Phys. Rev. A 58, 2733 (1998).
- L. Viola, E. Knill, and S. Lloyd, Dynamical decoupling of open quantum systems, Phys. Rev. Lett. 82, 2417 (1999).
- D. Vitali and P. Tombesi, Using parity kicks for decoherence control, Phys. Rev. A 59, 4178 (1999).
- W. M. Witzel and S. D. Sarma, Multiple-pulse coherence enhancement of solid state spin qubits, Phys. Rev. Lett. 98, 077601 (2007).
- 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).
- Y. Sagi, I. Almog, and N. Davidson, Process tomography of dynamical decoupling in a dense cold atomic ensemble, Phys. Rev. Lett. 105, 053201 (2010).
- 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).
- G. A. Álvarez and D. Suter, Measuring the spectrum of colored noise by dynamical decoupling, Phys. Rev. Lett. 107, 230501 (2011).
- E. Wigner, On the quantum correction for thermodynamic equilibrium, Phys. Rev. 40, 749 (1932).
- J. Ville, Theorie et application dela notion de signal analysis, Câbles et Transmissions 2, 61 (1948).
- T. M. Cover and J. A. Thomas, Elements of Information Theory (John Wiley & Sons, 2005).
- O. Kern and G. Alber, Controlling quantum systems by embedded dynamical decoupling schemes, Phys. Rev. Lett. 95, 250501 (2005).
- K. Khodjasteh and D. A. Lidar, Fault-tolerant quantum dynamical decoupling, Phys. Rev. Lett. 95, 180501 (2005).
- L. Viola and E. Knill, Random decoupling schemes for quantum dynamical control and error suppression, Phys. Rev. Lett. 94, 060502 (2005).
- 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).
- G. S. Uhrig, Keeping a quantum bit alive by optimized π𝜋\piitalic_π-pulse sequences, Phys. Rev. Lett. 98, 100504 (2007).
- G. Gordon, G. Kurizki, and D. A. Lidar, Optimal dynamical decoherence control of a qubit, Phys. Rev. Lett. 101, 010403 (2008).
- H. Uys, M. J. Biercuk, and J. J. Bollinger, Optimized noise filtration through dynamical decoupling, Phys. Rev. Lett. 103, 040501 (2009).
- G. S. Uhrig, Concatenated control sequences based on optimized dynamic decoupling, Phys. Rev. Lett. 102, 120502 (2009).
- Y. Pan, Z.-R. Xi, and W. Cui, Optimal dynamical decoupling sequence for the Ohmic spectrum, Phys. Rev. A 81, 022309 (2010).
- S. Pasini and G. S. Uhrig, Optimized dynamical decoupling for power-law noise spectra, Phys. Rev. A 81, 012309 (2010).
- J. Clausen, G. Bensky, and G. Kurizki, Bath-optimized minimal-energy protection of quantum operations from decoherence, Phys. Rev. Lett. 104, 040401 (2010).
- J. R. West, B. H. Fong, and D. A. Lidar, Near-optimal dynamical decoupling of a qubit, Phys. Rev. Lett. 104, 130501 (2010).
- K. Khodjasteh, T. Erdélyi, and L. Viola, Limits on preserving quantum coherence using multipulse control, Phys. Rev. A 83, 020305 (2011).
- 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.
- 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).
- A. Najmi, The Wigner distribution: A time-frequency analysis tool, Johns Hopkins APL Technical Digest 15, 298 (1994).
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.