- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review A

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Squeezed quantum multiplets: Properties and phase space representation

Juan Pablo Paz, Corina Révora, and Christian Tomás Schmiegelow

PDF

Phys. Rev. A 114, 022459 – Published 25 August, 2026

DOI: https://doi.org/10.1103/4d9d-kthj

Abstract

We define and study the properties of squeezed quantum multiplets, which are sets of D-orthonormal quantum states formed by superpositions of states squeezed along D equally spaced directions in quadrature space. We present analytical expressions for phase-space distributions (Wigner and characteristic functions) representing squeezed multiplets. We use these expressions to show that some squeezed multiplets are highly sensitive to perturbations in all phase-space directions, suggesting potential applications in metrology. We also compare ordinary squeezed multiplets with superpositions of higher-order squeezed states, including trisqueezed and quadsqueezed states, highlighting both similarities and important differences between these families of states.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (31)

  1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2010).
  2. D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Quantum dynamics of single trapped ions, Rev. Mod. Phys. 75, 281 (2003).
  3. H. Haffner, C. F. Roos, and R. Blatt, Quantum computing with trapped ions, Phys. Rep. 469, 155 (2008).
  4. J. J. G. Ripoll, Quantum Information and Quantum Optics with Superconducting Circuits (Cambridge University Press, Cambridge, 2022).
  5. A. Blais, A. L. Grimsmo, S. M. Girvin, and A. Wallraff, Circuit quantum electrodynamics, Rev. Mod. Phys. 93, 025005 (2021).
  6. S. Lloyd and S. L. Braunstein, Quantum computation over continuous variables, Phys. Rev. Lett. 82, 1784 (1999).
  7. C. Monroe, D. M. Meekhof, B. E. King, and D. J. Wineland, A “Schrödinger cat” superposition state of an atom, Science 272, 1131 (1996).
  8. A. Eickbusch, V. Sivak, A. Z. Ding, S. S. Elder, S. R. Jha, J. Venkatraman, B. Royer, S. M. Girvin, R. J. Schoelkopf, and M. H. Devoret, Fast universal control of an oscillator with weak dispersive coupling to a qubit, Nat. Phys. 18, 1464 (2022).
  9. M. Drechsler, M. Belén Farías, N. Freitas, C. T. Schmiegelow, and J. P. Paz, State-dependent motional squeezing of a trapped ion: Proposed method and applications, Phys. Rev. A 101, 052331 (2020).
  10. N. F. Del Grosso, R. G. Cortiñas, P. I. Villar, F. C. Lombardo, and J. P. Paz, Controlled-squeeze gate in superconducting quantum circuits, Phys. Rev. A 111, 042606 (2025).
  11. M. K. Hope, J. Lidal, and F. Massel, Preparation of conditionally squeezed states in qubit-oscillator systems, Phys. Rev. Res. 8, L012046 (2026).
  12. S. L. Braunstein and R. I. McLachlan, Generalized squeezing, Phys. Rev. A 35, 1659 (1987).
  13. S. Saner, O. Băzăvan, D. Webb, G. Araneda, D. Lucas, C. Ballance, and R. Srinivas, Generating arbitrary superpositions of nonclassical quantum harmonic oscillator states, Phys. Rev. X 16, 021049 (2026).
  14. O. Băzăvan, S. Saner, D. Webb, E. Ainley, P. Drmota, D. Nadlinger, G. Araneda, D. Lucas, C. Ballance, and R. Srinivas, Squeezing, trisqueezing and quadsqueezing in a hybrid oscillator-spin system, Nat. Phys. 22, 757 (2026).
  15. C. W. S. Chang, C. Sabín, P. Forn-Díaz, F. Quijandría, A. M. Vadiraj, I. Nsanzineza, G. Johansson, and C. M. Wilson, Observation of three-photon spontaneous parametric down-conversion in a superconducting parametric cavity, Phys. Rev. X 10, 011011 (2020).
  16. A. M. Eriksson, T. Sépulcre, M. Kervinen, T. Hillmann, M. Kudra, S. Dupouy, Y. Lu, M. Khanahmadi, J. Yang, C. Castillo-Moreno, et al., Universal control of a bosonic mode via drive-activated native cubic interactions, Nat. Commun. 15, 2512 (2024).
  17. A. Agustí, C. W. S. Chang, F. Quijandría, G. Johansson, C. M. Wilson, and C. Sabín, Tripartite genuine non-Gaussian entanglement in three-mode spontaneous parametric down-conversion, Phys. Rev. Lett. 125, 020502 (2020).
  18. B. Jarvis-Frain, A. Schang, F. Quijandría, I. Nsanzineza, D. Dubyna, C. Chang, F. Nori, and C. Wilson, Observation of genuine tripartite non-Gaussian entanglement from a superconducting three-photon spontaneous parametric down-conversion source, Phys. Rev. Lett. 137, 040201 (2026).
  19. M. Ayyash, X. Xu, S. Ashhab, and M. Mariantoni, Driven multiphoton qubit-resonator interactions, Phys. Rev. A 110, 053711 (2024).
  20. M. H. Michael, M. Silveri, R. T. Brierley, V. V. Albert, J. Salmilehto, L. Jiang, and S. M. Girvin, New class of quantum error-correcting codes for a bosonic mode, Phys. Rev. X 6, 031006 (2016).
  21. V. V. Albert, K. Noh, K. Duivenvoorden, D. J. Young, R. T. Brierley, P. Reinhold, C. Vuillot, L. Li, C. Shen et al., Performance and structure of single-mode bosonic codes, Phys. Rev. A 97, 032346 (2018).
  22. R. A. Fisher, M. M. Nieto, and V. D. Sandberg, Impossibility of naively generalizing squeezed coherent states, Phys. Rev. D 29, 1107 (1984).
  23. F. Fischer, D. Burgarth, and D. Lonigro, Self-adjoint realizations of higher-order squeezing operators J. Phys. A 59, 255203 (2026).
  24. S. Ashhab, F. Fischer, D. Lonigro, D. Braak, and D. Burgarth, Finite-dimensional approximations of generalized squeezing, Phys. Rev. A 113, 013703 (2026).
  25. R. Gordillo-Hachuel and R. Puebla, Comment on ‘Properties and dynamics of generalized squeezed states,' New J. Phys. 28, 028002 (2026).
  26. S. Ashhab and M. Ayyash, Reply to comment on ‘Properties and dynamics of generalized squeezed states,' New J. Phys. 28, 028001 (2026).
  27. S. Ashhab and M. Ayyash, Properties and dynamics of generalized squeezed states, New J. Phys. 27, 054104 (2025).
  28. X. Deng, S. Li, Z.-J. Chen, Z. Ni, Y. Cai, J. Mai, L. Zhang, P. Zheng, H. Yu, C.-L. Zou, et al., Quantum-enhanced metrology with large Fock states, Nat. Phys. 20, 1874 (2024).
  29. L. Labarca, S. Turcotte, A. Blais, and B. Royer, Quantum sensing of displacements with stabilized Gottesman-Kitaev-Preskill states, PRX Quantum 7, 020301 (2026).
  30. C. H. Valahu, M. P. Stafford, Z. Huang, V. G. Matsos, M. J. Millican, T. Chalermpusitarak, N. C. Menicucci, J. Combes, B. Q. Baragiola, and T. R. Tan, Quantum-enhanced multiparameter sensing in a single mode, Sci. Adv. 11, eadw9757 (2025).
  31. P. T. Grochowski and R. Filip, Optimal phase-insensitive force sensing with non-Gaussian states, Phys. Rev. Lett. 135, 230802 (2025).

Outline

Information

Phys. Rev. A 114, 022459– Published 25 August, 2026
  • Received 4 March 2026
  • Accepted 29 June 2026
Crossmark - Check for updates button

©2026 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation