Stochastic local operations and classical communication invariant and the residual entanglement for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>qubits

Li, Dafa; Li, Xiangrong; Huang, Hongtao; Li, Xinxin

doi:10.1103/physreva.76.032304

Cited by 38 publications

(31 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In 1999, Lukin et al introduced the idea of DDR and showed that in a Λ-type system, the coherent interaction can lead to a splitting of dark states and the emergence of sharp spectral features [36]. Later, it was shown that this novel spectral feature can be characterized as a powerful mechanism for Doppler-free resonance [37,38], group velocity controlling [39,40], coherently control the adiabatic passage [41,42], four-wave mixing [43,44] and high resolution spectroscopy [45,46]. Up to now, different schemes of the DDR have been investigated and also various phenomena induced by the interacting dark resonance have been explored.…”

Section: Introductionmentioning

confidence: 99%

Multi-photon resonance phenomena using Laguerre–Gaussian beams

Kazemi

Mahmoudi

2016

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

Abstract. We study the influence of laser profile on the linewidth of the optical spectrum of multi-photon resonance phenomena. First, we investigate the dependence of the absorption spectrum on the laser profile in a two-level system. Thanks to the Laguerre-Gaussian field, the linewidth of the one-photon optical pumping and two-photon absorption peaks are explicitly narrower than that obtained with a Gaussian field. In next section, it is shown that, comparing with the the Gaussian fields, the Laguerre-Gaussian ones reduce the linewidth of the optical spectrum in the coherent population trapping. Interestingly, it turns out that its use of a Laguerre-Gaussian beam makes the linewidth of the spectrum narrower as compared with a Gaussian one in a Doppler-broadened electromagnetically induced transparency. Moreover, we study the effect of the laser profile on the Autler-Townes doublet structure in the absorption spectrum for a laser-driven four-level atomic system. We also consider the different values of the Laguerre-Gaussian mode beam waist, and, perhaps more remarkable, we find that for the small values of waist, the Autler-Townes doublet can be removed and a prominent narrow central peak appears in the absorption spectrum. Finally, we investigate the effect of the laser profile on the linewidth of the sub-natural threephoton absorption peak of double dark resonance. The differences in the linewidth are quite large, offering potential applications in metrology and isotope separation methods. Our results can be used for super ultra high resolution laser spectroscopy and to improve the resolution of the technology of isotope/isomer separation and photo-biology even at essential overlap of the spectra of the different particles.

show abstract

Section: Introductionmentioning

confidence: 99%

Multi-photon resonance phenomena using Laguerre–Gaussian beams

Kazemi

Mahmoudi

2016

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

show abstract

“…Multi-wave mixing process, as one of the interesting and striking nonlinear quantum optical phenomena based on atomic coherence and quantum interference, has been the promising candidates of many groups because of its potential wide applications in quantum single-photon nonlinear optics and quantum information science [1][2][3][4][5][6][7][8][9][10][11]. However, the application of multi-wave mixing is limited by its usual low efficiency [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Mid-infrared efficient generation by resonant four-wave mixing in a three-coupled-quantum-well nanostructure

Hao

Yang

2009

Optics Communications

View full text Add to dashboard Cite

“…The field of POVMs is rather large and technical see for example [97,98,99], for now we will content ourselves with a basic functional introduction. The following introduction leans heavily on Nielsen and Chuang [97].…”

Section: Locc and Sloccmentioning

confidence: 99%

Black holes, qubits and octonions

et al. 2009

View full text Add to dashboard Cite

We review the recently established relationships between black hole entropy in string theory and the quantum entanglement of qubits and qutrits in quantum information theory. The first example is provided by the measure of the tripartite entanglement of three qubits (Alice, Bob and Charlie), known as the 3-tangle, and the entropy of the 8-charge ST U black hole of N = 2 supergravity, both of which are given by the [SL(2)] 3 invariant hyperdeterminant, a quantity first introduced by Cayley in 1845. Moreover the classification of three-qubit entanglements is related to the classification of N = 2 supersymmetric ST U black holes. There are further relationships between the attractor mechanism and local distillation protocols and between supersymmetry and the suppression of bit flip errors. At the microscopic level, the black holes are described by intersecting D3-branes whose wrapping around the six compact dimensions T 6 provides the string-theoretic interpretation of the charges and we associate the three-qubit basis vectors, |ABC (A, B, C = 0 or 1), with the corresponding 8 wrapping cycles. The black hole/qubit correspondence extends to the 56 charge N = 8 black holes and the tripartite entanglement of seven qubits where the measure is provided by Cartan's E 7 ⊃ [SL(2)] 7 invariant. The qubits are naturally described by the seven vertices ABCDEF G of the Fano plane, which provides the multiplication table of the seven imaginary octonions, reflecting the fact that E 7 has a natural structure of an O-graded algebra. This in turn provides a novel imaginary octonionic interpretation of the 56 = 7 × 8 charges of N = 8: the 24 = 3 × 8 NS-NS charges correspond to the three imaginary quaternions and the 32 = 4 × 8 R-R to the four complementary imaginary octonions. We contrast this approach with that based on Jordan algebras and the Freudenthal triple system. N = 8 black holes (or black strings) in five dimensions are also related to the bipartite entanglement of three qutrits (3-state systems), where the analogous measure is Cartan's E 6 ⊃ [SL(3)] 3 invariant. Similar analogies exist for magic N = 2 supergravity black holes in both four and five dimensions. Despite the ubiquity of octonions, our analogy between black holes and quantum information theory is based on conventional quantum mechanics but for completeness we also provide a more exotic one based on octonionic quantum mechanics. Finally, we note some intriguing, but still mysterious, assignments of entanglements to cosets, such as the 4-way entanglement of eight qubits to E 8 /[SL (2)] 8 .

show abstract

Stochastic local operations and classical communication invariant and the residual entanglement fornqubits

Cited by 38 publications

References 19 publications

Multi-photon resonance phenomena using Laguerre–Gaussian beams

Multi-photon resonance phenomena using Laguerre–Gaussian beams

Mid-infrared efficient generation by resonant four-wave mixing in a three-coupled-quantum-well nanostructure

Black holes, qubits and octonions

Contact Info

Product

Resources

About