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Rahman AU, Ali H, Zangi SM, Qiao CF. Extremal quantum correlation generation using a hybrid channel. Sci Rep 2023; 13:16654. [PMID: 37789025 PMCID: PMC10547701 DOI: 10.1038/s41598-023-43811-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/09/2023] [Accepted: 09/28/2023] [Indexed: 10/05/2023] Open
Abstract
The preservation of quantum correlations requires optimal procedures and the proper design of the transmitting channels. In this regard, we address designing a hybrid channel comprising a single-mode cavity accompanied by a super-Gaussian beam and local dephasing parts based on the dynamics of quantum characteristics. We choose two-level atoms and various functions such as traced-distance discord, concurrence, and local-quantum uncertainty to analyze the effectiveness of the hybrid channel to preserve quantum correlations along with entropy suppression discussed using linear entropy. The joint configuration of the considered fields is found to not only preserve but also generate quantum correlations even in the presence of local dephasing. Most importantly, within certain limits, the proposed channel can be readily regulated to generate maximal quantum correlations and complete suppression of the disorder. Besides, compared to the individual parts, mixing the Fock state cavity, super-Gaussian beam, and local dephasing remains a resourceful choice for the prolonged quantum correlations' preservation. Finally, we present an interrelationship between the considered two-qubit correlations' functions, showing the deviation between each two correlations and of the considered state from maximal entanglement under the influence of the assumed hybrid channel.
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Affiliation(s)
- Atta Ur Rahman
- School of Physics, University of Chinese Academy of Science, Yuquan Road 19A, Beijing, 100049, China
| | - Hazrat Ali
- Abbottabad University of Science and Technology, Havellian, KP, 22500, Pakistan
| | - S M Zangi
- School of Physics and Astronomy, Yunnan University, Kunming, 650500, China
| | - Cong-Feng Qiao
- School of Physics, University of Chinese Academy of Science, Yuquan Road 19A, Beijing, 100049, China.
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Alotaibi MF, Khalil EM, Abd-Rabbou MY, Marin M. The Classicality and Quantumness of the Driven Qubit–Photon–Magnon System. MATHEMATICS 2022; 10:4458. [DOI: 10.3390/math10234458] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/02/2023]
Abstract
The hybrid architecture of the driven qubit–photon–magnon system has recently emerged as a promising candidate for novel quantum technologies. In this paper, we introduce the effective wave-function of a superconducting single qubit and a magnon mode contained within a cavity resonator and an external field. The non-classicality of the magnon and resonator modes are investigated by using the negative values of the Wigner function. Additionally, we discuss the non-classicality of the qubit state via the Wigner–Yanase skew information. We find that the mixture angle of the qubit–resonator plays a controllable role in non-classicality. However, the strength of the magnon–photon increases the non-classical behaviour of the system.
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Niu MY, Sanders BC, Wong FNC, Shapiro JH. Unity-Efficiency Parametric Down-Conversion via Amplitude Amplification. PHYSICAL REVIEW LETTERS 2017; 118:123601. [PMID: 28388184 DOI: 10.1103/physrevlett.118.123601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/29/2016] [Indexed: 06/07/2023]
Abstract
We propose an optical scheme, employing optical parametric down-converters interlaced with nonlinear sign gates (NSGs), that completely converts an n-photon Fock-state pump to n signal-idler photon pairs when the down-converters' crystal lengths are chosen appropriately. The proof of this assertion relies on amplitude amplification, analogous to that employed in Grover search, applied to the full quantum dynamics of single-mode parametric down-conversion. When we require that all Grover iterations use the same crystal, and account for potential experimental limitations on crystal-length precision, our optimized conversion efficiencies reach unity for 1≤n≤5, after which they decrease monotonically for n values up to 50, which is the upper limit of our numerical dynamics evaluations. Nevertheless, our conversion efficiencies remain higher than those for a conventional (no NSGs) down-converter.
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Affiliation(s)
- Murphy Yuezhen Niu
- Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Barry C Sanders
- Institute for Quantum Science and Technology, University of Calgary, Calgary, Alberta T2N 1N4, Canada
- Program in Quantum Information Science, Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
- Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Anhui 230026, China
- Shanghai Branch, CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Shanghai 201315, China
- Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA
| | - Franco N C Wong
- Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Jeffrey H Shapiro
- Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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Raimond JM, Sayrin C, Gleyzes S, Dotsenko I, Brune M, Haroche S, Facchi P, Pascazio S. Phase space tweezers for tailoring cavity fields by quantum Zeno dynamics. PHYSICAL REVIEW LETTERS 2010; 105:213601. [PMID: 21231304 DOI: 10.1103/physrevlett.105.213601] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/27/2010] [Indexed: 05/30/2023]
Abstract
We discuss an implementation of quantum Zeno dynamics in a cavity quantum electrodynamics experiment. By performing repeated unitary operations on atoms coupled to the field, we restrict the field evolution in chosen subspaces of the total Hilbert space. This procedure leads to promising methods for tailoring nonclassical states. We propose to realize "tweezers" picking a coherent field at a point in phase space and moving it towards an arbitrary final position without affecting other nonoverlapping coherent components. These effects could be observed with a state-of-the-art apparatus.
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Affiliation(s)
- J M Raimond
- Laboratoire Kastler Brossel, CNRS, ENS, UPMC-Paris 6, 24 rue Lhomond, 75231 Paris, France
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França Santos M, Giedke G, Solano E. Noise-free measurement of harmonic oscillators with instantaneous interactions. PHYSICAL REVIEW LETTERS 2007; 98:020401. [PMID: 17358585 DOI: 10.1103/physrevlett.98.020401] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/12/2006] [Indexed: 05/14/2023]
Abstract
We present a method of measuring the quantum state of a harmonic oscillator through instantaneous probe-system selective interactions of the Jaynes-Cummings type. We prove that this scheme is robust to general decoherence mechanisms, allowing the possibility of measuring fast-decaying systems in the weak-coupling regime. This method could be applied to different setups: motional states of trapped ions, microwave fields in cavity or circuit QED, and even intracavity optical fields.
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Affiliation(s)
- M França Santos
- Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brazil.
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Schön C, Solano E, Verstraete F, Cirac JI, Wolf MM. Sequential generation of entangled multiqubit states. PHYSICAL REVIEW LETTERS 2005; 95:110503. [PMID: 16196992 DOI: 10.1103/physrevlett.95.110503] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/18/2005] [Indexed: 05/04/2023]
Abstract
We consider the deterministic generation of entangled multiqubit states by the sequential coupling of an ancillary system to initially uncorrelated qubits. We characterize all achievable states in terms of classes of matrix-product states and give a recipe for the generation on demand of any multiqubit state. The proposed methods are suitable for any sequential generation scheme, though we focus on streams of single-photon time-bin qubits emitted by an atom coupled to an optical cavity. We show, in particular, how to generate familiar quantum information states such as W, Greenberger-Horne-Zeilinger, and cluster states within such a framework.
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Affiliation(s)
- C Schön
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany
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Santos MF. Universal and deterministic manipulation of the quantum state of harmonic oscillators: a route to unitary gates for Fock state qubits. PHYSICAL REVIEW LETTERS 2005; 95:010504. [PMID: 16090598 DOI: 10.1103/physrevlett.95.010504] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/10/2004] [Indexed: 05/03/2023]
Abstract
We present a simple quantum circuit that allows for the universal and deterministic manipulation of the quantum state of confined harmonic oscillators. The scheme is based on the selective interactions of the referred oscillator with an auxiliary three-level system and a classical external driving source, and enables any unitary operations on Fock states, two by two. One circuit is equivalent to a single qubit unitary logical gate on Fock states qubits. Sequences of similar protocols allow for complete, deterministic, and state-independent manipulation of the harmonic oscillator quantum state.
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Affiliation(s)
- Marcelo França Santos
- Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte, 30161-970, MG, Brazil.
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Lougovski P, Solano E, Zhang ZM, Walther H, Mack H, Schleich WP. Fresnel representation of the Wigner function: an operational approach. PHYSICAL REVIEW LETTERS 2003; 91:010401. [PMID: 12906520 DOI: 10.1103/physrevlett.91.010401] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2002] [Revised: 04/16/2003] [Indexed: 05/24/2023]
Abstract
We present an operational definition of the Wigner function. Our method relies on the Fresnel transform of measured Rabi oscillations and applies to motional states of trapped atoms as well as to field states in cavities. We illustrate this technique using data from recent experiments in ion traps [Phys. Rev. Lett. 76, 1796 (1996)]] and in cavity QED [Nature (London) 403, 743 (2000)]]. The values of the Wigner functions of the underlying states at the origin of phase space are W(|0>)(0)=+1.75 for the vibrational ground state and W(|1>)(0)=-1.4 for the one-photon number state. We generalize this method to wave packets in arbitrary potentials.
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Affiliation(s)
- P Lougovski
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany
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Bertet P, Osnaghi S, Milman P, Auffeves A, Maioli P, Brune M, Raimond JM, Haroche S. Generating and probing a two-photon fock state with a single atom in a cavity. PHYSICAL REVIEW LETTERS 2002; 88:143601. [PMID: 11955147 DOI: 10.1103/physrevlett.88.143601] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/20/2001] [Indexed: 05/23/2023]
Abstract
A two-photon Fock state is prepared in a cavity sustaining a "source mode" and a "target mode," with a single circular Rydberg atom. In a third-order Raman process, the atom emits a photon in the target while scattering one photon from the source into the target. The final two-photon state is probed by measuring by Ramsey interferometry the cavity light shifts induced by the target field on the same atom. Extensions to other multiphoton processes and to a new type of micromaser are briefly discussed.
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Affiliation(s)
- P Bertet
- Laboratoire Kastler Brossel, Département de Physique de l'Ecole Normale Supérieure, 24 rue Lhomond, F-75231 Paris Cedex 05, France
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