Measurement of Einstein-Podolsky-Rosen-Type Flavor Entanglement in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Υ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mi>S</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>→</mml:mo><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mn>0</mml:mn></mml:msup></mml:math>Decays

Go, A.; Bay, A.; Abe, Kazuo; Aihara, H.; Anipko, D.; Aulchenko, V.; Aushev, T.; Bakich, A. M.; Barberio, E. L.; Belous, K.; Bitenc, U.; Bizjak, I.; Blyth, S.; Bożek, A.; Bračko, M.; Browder, T. E.; Chang, P.; Chào, Y.; Chen, A.; Chen, K. F.; Chen, W. T.; Cheon, B. G.; Chistov, R.; Choi, Y.; Cole, S.; Dalseno, J.; Danilov, M.; Dash, M.; Drutskoy, A.; Eidelman, S.; Epifanov, D.; Fratina, S.; Gabyshev, N.; Gershon, T.; Gokhroo, G.; Golob, B.; Gorišek, A.; Ha, H.; Hastings, N. C.; Hayasaka, K.; Hayashii, H.; Hazumi, M.; Heffernan, D.; Hokuue, T.; Hoshi, Y.; Hou, S.; Hou, W.-S.; Iijima, T.; Ikado, K.; Imoto, A.; Inami, K.; Ishikawa, A.; Ishino, H.; Itoh, R.; Iwasaki, M.; Iwasaki, M.; Jacoby, C.; Kang, J. H.; Katayama, N.; Kawasaki, T.; Khan, H. R.; Kichimi, H.; Kim, H. J.; Kim, S. K.; Kim, Y. J.; Kinoshita, K.; Korpar, S.; Križan, P.; Krokovny, P.; Kulasiri, R.; Kumar, R.; Kuo, C. C.; Kuzmin, A.; Kwon, Y. J.; Lange, J. S.; Lee, J.; Lee, M. J.; Lesiak, T.; Limosani, A.; Lin, S. W.; Liu, Y.; Liventsev, D.; Matsumoto, T.; Matyja, A.; McOnie, S.; Mitaroff, W.; Miyake, H.; Miyata, H.; Miyazaki, Y.; Mizuk, R.; Mori, Takashi; Nakano, E.; Nakao, M.; Natkaniec, Z.; Nishida, S.; Nitoh, O.; Ogawa, S.; Ohshima, T.; Olsen, S. L.; Onuki, Y.; Pakhlov, P.; Pakhlova, G.; Pałka, H.; Park, C. W.; Park, H.; Peak, L. S.; Pestotnik, R.; Peters, M.; Piilonen, L. E.; Sahoo, H.; Sakai, Y.; Satoyama, N.; Schietinger, T.; Schneider, O.; Schümann, J.; Schwartz, A. J.; Seidl, R.; Senyo, K.; Shapkin, M.; Shibuya, H.; Shwartz, B.; Singh, J. B.; Somov, A.; Soni, N.; Stanič, S.; Starič, M.; Stoeck, H.; Sumiyoshi, T.; Takasaki, F.; Tanaka, M.; Taylor, G. N.; Teramoto, Y.; Tian, X. C.; Tikhomirov, I.; Trabelsi, K.; Tsuboyama, T.; Tsukamoto, T.; Uehara, S.; Uglov, T.; Ueno, K.; Unno, Y.; Uno, S.; Varner, G.; Villa, S.; Wang, C. C.; Wang, C. H.; Wang, M. Z.; Watanabe, Y.; Wicht, J.; Won, E.; Xie, Qingguo; Yabsley, B.; Yamaguchi, A.; Yamashita, Y.; Yamauchi, M.; Zhang, Z. P.; Zhilich, V.; Zupanc, A.

doi:10.1103/physrevlett.99.131802

Cited by 47 publications

(14 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Early studies in particle physics proposed to use the time evolution of intermediate (resonant) states in cascade decays of heavy (B) mesons to study aspects of CP violation, mixing phenomena [1][2][3][4][5][6] and CPT violation [7,8]. The Belle collaboration [9] has reported on remarkably precise measurements of (EPR) entanglement and correlations in cascade decays Υ Ψ →¯→ S B B l J K (4 ) ( , / , ) 0 0 via the analysis of the time dependence of the flavor asymmetry [10]. The BaBar collaboration [11,12] has reported on the first direct measurement of time reversal violation in theB B 0 0 system from Υ S (4 ) decay at rest by studying the time dependent correlations between the members of the entangledB B 0 0 pairs also in a cascade decay.…”

Section: Introductionmentioning

confidence: 99%

Time evolution of cascade decay

Boyanovsky

Lello

2014

New J. Phys.

View full text Add to dashboard Cite

We study non-perturbatively the time evolution of cascade decay for generic fields π ϕϕ ϕ χχ → → 1 2 1 2 2 1 2 . In the opposite limit the population of resonances (ϕ 1 ) does not build up substantially and the cascade decay proceeds almost directly from the initial parent to the final state without resulting in a large amplitude of the resonant state. An alternative but equivalent non-perturbative method useful in cosmology is presented. Possible phenomenological implications for heavy sterile neutrinos as resonant states and consequences of quantum entanglement and correlations in the final state are discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Time evolution of cascade decay

Boyanovsky

Lello

2014

New J. Phys.

View full text Add to dashboard Cite

show abstract

“…Such a theory would encompass Dirac equation and be an alternative to quantum field theory. To conclude, quantum entanglement in e + e − collisions was recently observed in relation to a possible CPT violation [14].…”

Section: Discussionmentioning

confidence: 97%

“…Adding the quaternionic generator i to H 120 , one gets a group isomorphic to E − 32 .S 5 that is, up to a factor of 2, the 3-qubit representation of the 2-qubit dipole C − 2 , of order 3840 (see (14) in [2]). Adding the quaternionic generator j to H 120 , one recovers the 3-qubit representation of the group Z 2 .W (E 6 ), and adding the generator K to H 120 one obtains the groupF 7 ∼ = Z 2 .W (E 7 ).…”

Section: The Three-qubit Representation Of the Group Design Sl(2 5)mentioning

confidence: 99%

Three-Qubit Entangled Embeddings of CPT and Dirac Groups within E 8 Weyl Group

Planat

2010

Int J Theor Phys

View full text Add to dashboard Cite

In quantum information context, the groups generated by Pauli spin matrices, and Dirac gamma matrices, are known as the single qubit Pauli group P, and two-qubit Pauli group P 2 , respectively. It has been found (Socolovsky, Int. J. Theor. Phys. 43: 1941 that the CPT group of the Dirac equation is isomorphic to P. One introduces a two-qubit entangling orthogonal matrix S basically related to the CPT symmetry. With the aid of the two-qubit swap gate, the S matrix allows the generation of the three-qubit real Clifford group and, with the aid of the Toffoli gate, the Weyl group W (E 8 ) is generated (Planat, Preprint 0904.3691, 2009). In this paper, one derives three-qubit entangling groupsP and P 2 , isomorphic to the CPT group P and to the Dirac group P 2 , that are embedded into W (E 8 ). One discovers a new class of pure three-qubit quantum states with no-vanishing concurrence and three-tangle that we name CPT states. States of the GHZ and CPT families, and also chain-type states, encode the new representation of the Dirac group and its CPT subgroup.

show abstract

“…since both are given by the product P 0 (A 0 )P 1 (A 1 )P 0 (B 0 )P 1 (B 1 10 ). This means that we can define unconditional underlying probability ρ(A 0 , B 0 ; A 1 , B 1 ) which is the joint probability of Alice finding her system in state A 0 along 0-axis, A 1 along 1-axis and Bob finding his particle in state B 0 along 0-axis, B 1 along 1-axis;…”

Section: Marginal and Underlying Probabilities Statistical Independementioning

confidence: 99%

“…An unambiguous signal of the departure from local causality in quantum mechanics is expressed as violation of Bell inequality [1] and its variants, the Bell theorems, such as CHSH inequalities [2], GHZ theorem [3] and Hardy's arguments [4,5], which has been verified by the experiments by use of various physical systems [6,7,8,9,10]. The relations among these Bell theorems have been uncovered gradually [11,12].…”

Section: Introductionmentioning

confidence: 99%