Teleporting the Schrödinger Cat State

1998 ◽  
Vol 12 (29n30) ◽  
pp. 1209-1216 ◽  
Author(s):  
M. H. Y. Moussa ◽  
B. Baseia
Keyword(s):  
Coherent State ◽  
Quantum Channel ◽  
Coherent States ◽  
Joint Measurement ◽  
Bell Basis ◽  
Schrödinger Cat ◽  
Schrodinger Cat State

We present a scheme for the teleportation of a coherent state or a mesoscopic superposition of coherent states — the Schrödinger-cat state. The proposal involves a mesoscopic-correlated state as the quantum channel which is generated through an adaptation of a quantum switch scheme. The required joint measurement performed in a mesoscopic Bell basis is accomplished through a technique for detection of a Schrödinger-cat state "trapped" in a cavity.

scholarly journals A TREATMENT OF THE QUANTUM PARTIAL ENTROPIES IN THE ATOM-FIELD INTERACTION WITH A CLASS OF SCHRÖDINGER CAT STATES

2005 ◽  
Vol 03 (03) ◽  
pp. 591-602 ◽  
Author(s):  
A.-S. F. OBADA ◽  
H. A. HESSIAN ◽  
MAHMOUD ABDEL-ATY
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Stark Shift ◽  
Initial State ◽  
Field Interaction ◽  
Composite State ◽  
Quantum Dynamical ◽  
Initial States ◽  
Schrödinger Cat ◽  
Cat States

This paper is an enquiry into the circumstances under which entropy and subentropy methods can give an answer to the question of quantum entanglement in the composite state. Using a general quantum dynamical system, we obtain the analytical solution when the atom initially starts from its excited state and the field in different initial states. Different features of the entanglement are investigated when the field is initially assumed to be in a coherent state, an even coherent state (Schrödinger cate state), and a statistical mixture of coherent states. Our results show that the setting of the initial state and the Stark shift play important roles in the evolution of the sub-entropies and entanglement.

scholarly journals Collapses and revivals of the coherence of a mesoscopic superposition of motional states.

2000 ◽  
Vol 53 (3) ◽  
pp. 413 ◽  
Author(s):  
Shi-Biao Zheng
Keyword(s):  
Coherent States ◽  
Quantum Coherence ◽  
Vibrational Excitation ◽  
Ion Motion ◽  
Trapped Ion ◽  
Schrödinger Cat ◽  
Excitation Exchange ◽  
Schrodinger Cat State

A scheme is proposed to observe the collapses and revivals of a mesoscopic superposition of coherent states in the motion of a trapped ion. In the scheme the ion motion in the x-axis is first prepared in a Schrödinger cat state, and then coupled to the motion in the z-axis. With the vibrational excitation exchange between the two modes, the mesoscopic quantum coherence collapses and revives periodically, providing an example for complementarity.

SCHEME FOR DIRECT MEASURING QUASIPROBABILITY DISTRIBUTIONS OF N TRAPPED IONS IN THE DISPERSIVE REGIME

2006 ◽  
Vol 20 (25) ◽  
pp. 1567-1573
Author(s):  
WEN-XING YANG ◽  
XIAO-TAO XIE ◽  
FANG-FANG LUO
Keyword(s):  
Distribution Function ◽  
Coherent State ◽  
Trapped Ions ◽  
Present Scheme ◽  
State Reconstruction ◽  
Trapped Ion ◽  
Schrödinger Cat ◽  
Schrodinger Cat State ◽  
Quasiprobability Distributions ◽  
Quasiprobability Distribution

In this letter, a procedure is proposed for reconstructing the motional quantum state of N trapped ions. Unlike other previous schemes, the present scheme works in the dispersive regime in the presence of dissipation. In our scheme, we show that it is possible to directly measure the quasiprobability distribution function corresponding to the motional coherent state in a trapped-ion system subjected to dissipation. We also provide an example of a motional Schrödinger cat state reconstruction to exemplify our procedure.

scholarly journals Phase-space studies of backscattering diffraction of defective Schrödinger cat states

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Damian Kołaczek ◽  
Bartłomiej J. Spisak ◽  
Maciej Wołoszyn
Keyword(s):  
Phase Space ◽  
Dispersive Medium ◽  
Wigner Distribution ◽  
Interference Term ◽  
Wigner Distribution Function ◽  
The Subject ◽  
Schrödinger Cat ◽  
Cat States ◽  
Schrodinger Cat State ◽  
Space Approach

AbstractThe coherent superposition of two well separated Gaussian wavepackets, with defects caused by their imperfect preparation, is considered within the phase-space approach based on the Wigner distribution function. This generic state is called the defective Schrödinger cat state due to this imperfection which significantly modifies the interference term. Propagation of this state in the phase space is described by the Moyal equation which is solved for the case of a dispersive medium with a Gaussian barrier in the above-barrier reflection regime. Formally, this regime constitutes conditions for backscattering diffraction phenomena. Dynamical quantumness and the degree of localization in the phase space of the considered state as a function of its imperfection are the subject of the performed analysis. The obtained results allow concluding that backscattering communication based on the defective Schrödinger cat states appears to be feasible with existing experimental capabilities.

INTERACTION OF MESOSCOPIC JOSEPHSON JUNCTION WITH A SUCCESSIVE SQUEEZED COHERENT FIELD

2000 ◽  
Vol 14 (16) ◽  
pp. 609-618
Author(s):  
V. A. POPESCU
Keyword(s):  
Coherent State ◽  
Josephson Junction ◽  
Coherent States ◽  
Quantum Noise ◽  
Shapiro Steps ◽  
Superconducting Ring ◽  
Coherent Field ◽  
Current Voltage ◽  
Quantum Current ◽  
The Difference

Signal-to-quantum noise ratio for quantum current in mesoscopic Josephson junction of a circular superconducting ring can be improved if the electromagnetic field is in a successive squeezed coherent state. The mesoscopic Josephson junctions can feel the difference between the successive squeezed coherent states and other types of squeezed coherent states because their current–voltage Shapiro steps are different. We compare our method with another procedure for superposition of two squeezed coherent states (a squeezed even coherent state) and consider the effect of different large inductances on the supercurrent.

scholarly journals Common Coherence Witnesses and Common Coherent States

Entropy ◽  
2021 ◽  
Vol 23 (9) ◽  
pp. 1136
Author(s):  
Bang-Hai Wang ◽  
Zi-Heng Ding ◽  
Zhihao Ma ◽  
Shao-Ming Fei
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
State Problem ◽  
Properties And Characterization ◽  
The Common ◽  
High Level

We show the properties and characterization of coherence witnesses. We show methods for constructing coherence witnesses for an arbitrary coherent state. We investigate the problem of finding common coherence witnesses for certain class of states. We show that finitely many different witnesses W1,W2,⋯,Wn can detect some common coherent states if and only if ∑i=1ntiWi is still a witnesses for any nonnegative numbers ti(i=1,2,⋯,n). We show coherent states play the role of high-level witnesses. Thus, the common state problem is changed into the question of when different high-level witnesses (coherent states) can detect the same coherence witnesses. Moreover, we show a coherent state and its robust state have no common coherence witness and give a general way to construct optimal coherence witnesses for any comparable states.

Effect of feedback on the decoherence of a Schrödinger-cat state: A quantum trajectory description

1996 ◽  
Vol 54 (5) ◽  
pp. 4519-4527 ◽  
Author(s):  
Peter Goetsch ◽  
Paolo Tombesi ◽  
David Vitali
Keyword(s):  
Quantum Trajectory ◽  
Schrödinger Cat ◽  
Schrodinger Cat State
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