nach oben

Quantum Information Processing

Erschienen in:

01.11.2022

Quadrature squeezing and temperature estimation from the Fock distribution

verfasst von: Italo Pereira Bezerra, Hilma M. Vasconcelos, Scott Glancy

Erschienen in: Quantum Information Processing | Ausgabe 11/2022

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

We present a method to estimate the amount of squeezing and temperature of a single-mode Gaussian harmonic oscillator state based on the weighted least-squares estimator applied to measured Fock state populations. Squeezing and temperature, or equivalently the quadrature variances, are essential parameters states used in various quantum communication and sensing protocols. They are often measured with homodyne-style detection, which requires a phase reference such as a local oscillator. Our method allows estimation without a phase reference, by using for example a photon-number-resolving detector. To evaluate the performance of our estimator, we simulated experiments with different values of squeezing and temperature. From 10,000 Fock measurement events, we produced estimates for states whose fidelities to the true state are greater than 99.99% for small squeezing (\(r<1.0\)), and for high squeezing (\(r=2.5\)), we obtain fidelities greater than 99.9%. We also report confidence intervals and their coverage probabilities.

Vorheriger Artikel Detecting and embedding high-dimensional genuine multipartite entanglement states

Nächster Artikel Quantifying the uncertainty and global sensitivity of quantum computations on experimental hardware

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Nur mit Berechtigung zugänglich

Lvovsky, A.I., Raymer, M.G.: Continuous-variable optical quantum-state tomography. Rev. Mod. Phys. 81, 299 (2009). arXiv:quant-ph/0511044v2ADSCrossRef

Mallet, F., Castellanos-Beltran, M.A., Ku, H.S., Glancy, S., Knill, E., Irwin, K.D., Hilton, G.C., Vale, L.R., Lehnert, K.W.: Quantum state tomography of an itinerant squeezed microwave field. Phys. Rev. Lett. 106, 220502 (2011). arXiv:1012.0007ADSCrossRef

Raffaelli, F., Ferranti, G., Mahler, D.H., Sibson, P., Kennard, J.E., Santamato, A., Sinclair, G., Bonneau, D., Thompson, M.G., Matthews, J.C.F.: A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers. Quant. Sci. Technol. 3, 025003 (2018)ADSCrossRef

Smithey, D.T., Beck, M., Raymer, M.G., Faridani, A.: Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: application to squeezed states and the vacuum. Phys. Rev. Lett. 70, 1244 (1993)ADSCrossRef

Řeháček, J., Hradil, Z., Knill, E., Lvovsky, A.I.: Diluted maximum-likelihood algorithm for quantum tomography. Phys. Rev. A 75, 042108 (2007). arXiv:quant-ph/0611244v2ADSCrossRef

Leibfried, D., Meekhof, D.M., King, B.E., Monroe, C., Itano, W.M., Wineland, D.J.: Experimental determination of the motional quantum state of a trapped atom. Phys. Rev. Lett. 77, 4281 (1996)ADSCrossRef

Hofheinz, M., Wang, H., Bialczak, M.A., Lucero, R.C.E., Neeley, A.D., O‘connell, M., Sank, D., Wenner, J., Martinis, J.M., Cleland, A.N.: Synthesizing arbitrary quantum states in a superconducting resonator. Nature 459, 546–549 (2009)ADSCrossRef

Sahin, D., Gaggero, A., Zhou, Z., Jahanmirinejad, S., Mattioli, F., Leoni, R., Beetz, J., Lermer, M., Kamp, M., Höfling, S., Fiore, A.: Waveguide photon-number-resolving detectors for quantum photonic integrated circuits. Appl. Phys. Lett. 103, 111116 (2013). arXiv:1308.4606ADSCrossRef

Höpker, J.P., Gerrits, T., Lita, A., Krapick, S., Herrmann, H., Ricken, R., Quiring, V., Mirin, R., Nam, S.W., Silberhorn, C., Bartley, T.J.: Integrated transition edge sensors on titanium in-diffused lithium niobate waveguides. APL Photon. 4, 056103 (2019). arXiv:1812.08483ADSCrossRef

10.

Tzitrin, I., Bourassa, J.E., Menicucci, N.C., Sabapathy, K.K.: Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes. Phys. Rev. A 101, 032315 (2020). arXiv:1910.03673ADSCrossRef

11.

Meekhof, D.M., Monroe, C., King, B.E., Itano, W.M., Wineland, D.J.: Generation of nonclassical motional states of a trapped atom. Phys. Rev. Lett. 76, 1796 (1996)ADSCrossRef

12.

Burd, S.C., Srinivas, R., Bollinger, J.J., Wilson, A.C., Wineland, D.J., Leibfried, D., Slichter, D.H., Allcock, D.T.C.: Quantum amplification of mechanical oscillator motion. Science 364, 1163 (2019). arXiv:1812.01812ADSCrossRef

13.

Nesterov, K.N., Pechenezhskiy, I.V., Vavilov, M.G.: Counting statistics of microwave photons in circuit QED. Phys. Rev. A 101, 052321 (2020). arXiv:1911.05933ADSCrossRef

14.

Slusher, R.E., Hollberg, L.W., Yurke, B., Mertz, J.C., Valley, J.F.: Observation of squeezed states generated by four-wave mixing in an optical cavity. Phys. Rev. Lett. 55, 2409 (1985)ADSCrossRef

15.

Acernese, F., et al.: Virgo collaboration, increasing the astrophysical reach of the advanced Virgo detector via the application of squeezed vacuum states of light. Phys. Rev. Lett. 123, 231108 (2019)ADSCrossRef

16.

Tse, M., et al.: Quantum-enhanced advanced LIGO detectors in the era of gravitational-wave astronomy. Phys. Rev. Lett. 123, 231107 (2019)ADSCrossRef

17.

Slussarenko, S., Weston, M.M., HelenMChrzanowski, H.M., Shalm, L.K., Verma, V.B., Nam, S.W., Pryde, G.J.: Unconditional violation of the shot-noise limit in photonic quantum metrology. Nat. Photon. 11, 700 (2017). arXiv:1707.08977ADSCrossRef

18.

You, C., Hong, M., Bierhorst, P., Lita, A.E., Glancy, S., Kolthammer, S., Knill, E., Nam, S.W., Mirin, R.P., Magaña-Loaiza, O.S., Gerrits, T.: Scalable multiphoton quantum metrology with neither pre- nor post-selected measurements. Appl. Phys. Rev. 8, 041406 (2021). arXiv:2011.02454ADSCrossRef

19.

Furusawa, A., Sørensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282, 706 (1998)ADSCrossRef

20.

Bourassa, J.E., Alexander, R.N., Vasmer, M., Patil, A., Tzitrin, I., Matsuura, T., Su, D., Baragiola, B.Q., Guha, S., Dauphinais, G., Sabapathy, K.K., Menicucci, N.C., Dhand, I.: Blueprint for a scalable photonic fault-tolerant quantum computer. Quantum 5, 392 (2021). arXiv:2010.02905CrossRef

21.

Tzitrin, I., Matsuura, T., Alexander, R.N., Dauphinais, G., Bourassa, J.E., Sabapathy, K.K., Menicucci, N.C., Dhand, I.: Fault-tolerant quantum computation with static linear optics. PRX Quant. 2, 040353 (2021). arXiv:2104.03241ADSCrossRef

22.

Gottesman, D., Kitaev, A., Preskill, J.: Encoding a qubit in an oscillator. Phys. Rev. A 64, 012310 (2001). arXiv:quant-ph/0008040ADSCrossRef

23.

Xin, M., Leong, W.S., Chen, Z., Wang, Y., Lan, S.-Y.: Rapid quantum squeezing by jumping the harmonic oscillator frequency. Phys. Rev. Lett. 127, 183602 (2021). arXiv:2110.00253ADSCrossRef

24.

Zuo, G., Zhang, Y., Li, J., Zhu, S., Guo, Y., Zhang, T.: Determination of weak squeezed vacuum state through photon statistics measurement (2021). arXiv:2112.03666

25.

Olivares, S.: Quantum optics in the phase space. Eur. Phys. J. Spec. Top. 203, 3 (2012). arXiv:1111.0786CrossRef

26.

Dodonov, V.V., Man’ko, O.V., Man’ko, V.I.: Photon distribution for one-mode mixed light with a generic Gaussian Wigner function. Phys. Rev. A 49, 2993 (1994). arXiv:hep-th/9308004ADSCrossRef

27.

Marian, P.: Higher-order squeezing and photon statistics for squeezed thermal states. Phys. Rev. A 45, 2044 (1992)ADSCrossRef

28.

Marian, P., Marian, T.A.: Squeezed states with thermal noise. II. Damping and photon counting. Phys. Rev. A 47, 4487 (1993)ADSCrossRef

29.

Aitkin, M.: Statistical Inference, Monographs on Statistics and Applied Probability, pp. 143–144. Chapman and Hall/CRC, New York (2010)

30.

Lolli, L., Taralli, E., Rajteri, M.: Ti/Au TES to discriminate single photons. J. Low Temp. Phys. 167, 803 (2012)ADSCrossRef

31.

Morais, L.A., Weinhold, T., de Almeida, M.P., Lita, A., Gerrits, T., Nam, S.W., White, A.G., Gillett, G.: Precisely determining photon-number in real-time (2020) arXiv:2012.10158

32.

Marian, P., Marian, T.A.: Uhlmann fidelity between two-mode Gaussian states. Phys. Rev. A 86, 022340 (2012)ADSCrossRef

33.

Efron, B., Tibshirani, R.J.: An Introduction to the Bootstrap. Chapman and Hall, London (1993)CrossRefMATH

34.

Carpenter, J., Bithell, J.: Bootstrap confidence intervals: when, which, what? a practical guide for medical statisticians. Stat. Med. 19, 1141 (2000)CrossRef

35.

Efron, B.: The Jackknife, the Bootstrap and Other Resampling Plans. Society for Industrial and Applied Mathematics, Philadelphia, pp. 82–86 (1982)

Titel: Quadrature squeezing and temperature estimation from the Fock distribution
verfasst von: Italo Pereira Bezerra
Hilma M. Vasconcelos
Scott Glancy
Publikationsdatum: 01.11.2022
Verlag: Springer US
Erschienen in: Quantum Information Processing / Ausgabe 11/2022
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-022-03677-5

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Weitere Artikel der Ausgabe 11/2022

Multi-party controlled cyclic hybrid quantum communication protocol in noisy environment

A hybrid quantum-classical generative adversarial networks algorithm based on inherited layerwise learning with circle-connectivity circuit

Parallel quantum addition for Korean block ciphers

Breaking Landauer's bound in a spin-encoded quantum computer

Entanglement witness and linear entropy in an open system influenced by FG noise

Quantifying the uncertainty and global sensitivity of quantum computations on experimental hardware