-
1
-
-
0021980820
-
Trading group theory for randomness
-
L. Babai. Trading group theory for randomness. In Proceedings of 17th ACM STOC, pages 421-429, 1985.
-
(1985)
Proceedings of 17th ACM STOC
, pp. 421-429
-
-
Babai, L.1
-
2
-
-
0002771903
-
Non-deterministic exponential time has two-prover interactive protocols
-
L. Babai, L. Fortnow, and C. Lund. Non-deterministic exponential time has two-prover interactive protocols. Computational Complexity, 1(1):3-40, 1991.
-
(1991)
Computational Complexity
, vol.1
, Issue.1
, pp. 3-40
-
-
Babai, L.1
Fortnow, L.2
Lund, C.3
-
3
-
-
0000486090
-
On the Einstein-Podolsky-Rosen paradox
-
J. S. Bell. On the Einstein-Podolsky-Rosen paradox. Physics, 1:195-200, 1964.
-
(1964)
Physics
, vol.1
, pp. 195-200
-
-
Bell, J.S.1
-
4
-
-
84898945449
-
Multi prover interactive proofs: How to remove intractability
-
M. Ben-Or, S. Goldwasser, J. Kilian, and A. Wigderson. Multi prover interactive proofs: How to remove intractability. In Proc. of 20th ACM STOC, pages 113-131, 1988.
-
(1988)
Proc. of 20th ACM STOC
, pp. 113-131
-
-
Ben-Or, M.1
Goldwasser, S.2
Kilian, J.3
Wigderson, A.4
-
6
-
-
0001583853
-
Maximal violation of Bell inequalities for mixed states
-
S. L. Braunstein, A. Mann, and M. Revzen. Maximal violation of Bell inequalities for mixed states. Physical Review Letters, 68(22):3259-3261, 1992.
-
(1992)
Physical Review Letters
, vol.68
, Issue.22
, pp. 3259-3261
-
-
Braunstein, S.L.1
Mann, A.2
Revzen, M.3
-
7
-
-
0025686844
-
On bounded round multi-prover interactive proof systems
-
J. Cai, A. Condon, and R. Lipton. On bounded round multi-prover interactive proof systems. In Proc. of the 5th Structures, pages 45-54, 1990.
-
(1990)
Proc. of the 5th Structures
, pp. 45-54
-
-
Cai, J.1
Condon, A.2
Lipton, R.3
-
8
-
-
34250250611
-
-
B. T. (Cirel'son). Quantum generalizations of Bell's inequality. Letters in Mathematical Physics, 4:93-100, 1980.
-
B. T. (Cirel'son). Quantum generalizations of Bell's inequality. Letters in Mathematical Physics, 4:93-100, 1980.
-
-
-
-
9
-
-
0003054911
-
-
B. T. (Cirel'son). Quantum analogues of Bell inequalities: The case of two spatially separated domains. J. of Soviet Mathematics, 36:557-570, 1987.
-
B. T. (Cirel'son). Quantum analogues of Bell inequalities: The case of two spatially separated domains. J. of Soviet Mathematics, 36:557-570, 1987.
-
-
-
-
10
-
-
51749098875
-
-
B. T. (Cirel'son). Some results and problems on quantum Bell-type inequalities. Hadronic Journal Supplement, 8(4):329-345, 1993.
-
B. T. (Cirel'son). Some results and problems on quantum Bell-type inequalities. Hadronic Journal Supplement, 8(4):329-345, 1993.
-
-
-
-
11
-
-
36049056258
-
Proposed experiment to test local hidden-variable theories
-
J. Clauser, M. Horne, A. Shimony, and R. Holt. Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett., 23:880-884, 1969.
-
(1969)
Phys. Rev. Lett
, vol.23
, pp. 880-884
-
-
Clauser, J.1
Horne, M.2
Shimony, A.3
Holt, R.4
-
12
-
-
4944260870
-
Consequences and limits of nonlocal strategies
-
R. Cleve, P. Høyer, B. Toner, and J. Watrous. Consequences and limits of nonlocal strategies. In Proceedings of 19th IEEE Conference on Computational Complexity, pages 236-249, 2004.
-
(2004)
Proceedings of 19th IEEE Conference on Computational Complexity
, pp. 236-249
-
-
Cleve, R.1
Høyer, P.2
Toner, B.3
Watrous, J.4
-
13
-
-
51749114991
-
-
A. C. Doherty, Y.-C. Liang, B. Toner, and S. Wehner. The quantum moment problem and bounds on entangled multi-prover games. arXiv:0803.4373.
-
A. C. Doherty, Y.-C. Liang, B. Toner, and S. Wehner. The quantum moment problem and bounds on entangled multi-prover games. arXiv:0803.4373.
-
-
-
-
14
-
-
0026393591
-
On the success probability of two provers in one-round proof systems
-
U. Feige. On the success probability of two provers in one-round proof systems. In Proc. of the 6th Structures, pages 116-123, 1991.
-
(1991)
Proc. of the 6th Structures
, pp. 116-123
-
-
Feige, U.1
-
15
-
-
0026991175
-
Two-prover one-round proof systems: Their power and their problems
-
U. Feige and L. Lovász. Two-prover one-round proof systems: their power and their problems. In Proc. of 24th ACM STOC, pages 733-744, 1992.
-
(1992)
Proc. of 24th ACM STOC
, pp. 733-744
-
-
Feige, U.1
Lovász, L.2
-
16
-
-
33846112882
-
The quantum theory of optical coherence
-
R. J. Glauber. The quantum theory of optical coherence. Phys. Rev. A, 130(6):2529-2539, 1963.
-
(1963)
Phys. Rev. A
, vol.130
, Issue.6
, pp. 2529-2539
-
-
Glauber, R.J.1
-
17
-
-
0024611659
-
The knowledge complexity of interactive proof systems
-
S. Goldwasser, S. Micali, and C. Rackoff. The knowledge complexity of interactive proof systems. SIAM J. on Computing, 1(18):186-208, 1989.
-
(1989)
SIAM J. on Computing
, vol.1
, Issue.18
, pp. 186-208
-
-
Goldwasser, S.1
Micali, S.2
Rackoff, C.3
-
18
-
-
0003967625
-
-
Springer, Berlin, 2nd edition
-
R. Haag. Local Quantum Physics: Fields, Particles, Algebras. Springer, Berlin, 2nd edition, 1996.
-
(1996)
Local Quantum Physics: Fields, Particles, Algebras
-
-
Haag, R.1
-
19
-
-
0000844603
-
Some optimal inapproximability results
-
J. Håstad. Some optimal inapproximability results. J. ACM, 48(4):798-859, 2001.
-
(2001)
J. ACM
, vol.48
, Issue.4
, pp. 798-859
-
-
Håstad, J.1
-
20
-
-
4344614199
-
A positivstellensatz for non-commutative polynomials
-
J. Helton and S. A. McCullough. A positivstellensatz for non-commutative polynomials. Trans. Amer. Math. Soc., 356(9):3721-3737, 2004.
-
(2004)
Trans. Amer. Math. Soc
, vol.356
, Issue.9
, pp. 3721-3737
-
-
Helton, J.1
McCullough, S.A.2
-
21
-
-
47349099116
-
Quantum multi-prover interactive proofs and decidability
-
In preparation
-
T. Ito, H. Kobayashi, and K. Matsumoto. Quantum multi-prover interactive proofs and decidability. In preparation.
-
-
-
Ito, T.1
Kobayashi, H.2
Matsumoto, K.3
-
22
-
-
51949088586
-
Generalized Tsirelson inequalities, commuting-operator provers, and Multi-prover Interactive Proof systems
-
T. Ito, H. Kobayashi, D. Preda, X. Sun, and A. C. C. Yao. Generalized Tsirelson inequalities, commuting-operator provers, and Multi-prover Interactive Proof systems. In Proc. of 23rd Annual IEEE CCC, 2008.
-
(2008)
Proc. of 23rd Annual IEEE CCC
-
-
Ito, T.1
Kobayashi, H.2
Preda, D.3
Sun, X.4
Yao, A.C.C.5
-
23
-
-
51749102557
-
-
J. Kempe, H. Kobayashi, K. Matsumoto, B. Toner, and T. Vidick. On the power of entangled provers: immunizing games against entanglement. arXiv:0704.2903.
-
J. Kempe, H. Kobayashi, K. Matsumoto, B. Toner, and T. Vidick. On the power of entangled provers: immunizing games against entanglement. arXiv:0704.2903.
-
-
-
-
24
-
-
51749124367
-
-
J. Kempe, O. Regev, and B. Toner. The unique games conjecture with entangled provers is false. arXiv:0710.0655.
-
J. Kempe, O. Regev, and B. Toner. The unique games conjecture with entangled provers is false. arXiv:0710.0655.
-
-
-
-
25
-
-
0033720106
-
Parallelization, amplification, and exponential time simulation of quantum interactive proof systems
-
A. Kitaev and J. Watrous. Parallelization, amplification, and exponential time simulation of quantum interactive proof systems. In Proc. of 32nd ACM STOC, pages 608-617, 2000.
-
(2000)
Proc. of 32nd ACM STOC
, pp. 608-617
-
-
Kitaev, A.1
Watrous, J.2
-
26
-
-
33646436427
-
Quantum marginal problem and n-representability
-
A. Klyachko. Quantum marginal problem and n-representability. J. of Physics, 36(1):71, 2006.
-
(2006)
J. of Physics
, vol.36
, Issue.1
, pp. 71
-
-
Klyachko, A.1
-
27
-
-
0026400402
-
Fully parallelized multi prover protocols for NEXP-time
-
D. Lapidot and A. Shamir. Fully parallelized multi prover protocols for NEXP-time. In Proc. of 32nd FOCS, pages 13-18, 1991.
-
(1991)
Proc. of 32nd FOCS
, pp. 13-18
-
-
Lapidot, D.1
Shamir, A.2
-
28
-
-
0035238864
-
Global optimization with polynomials and the problem of moments
-
J. B. Lasserre. Global optimization with polynomials and the problem of moments. SIAM J. of Optimization, 11(3):796-817, 2001.
-
(2001)
SIAM J. of Optimization
, vol.11
, Issue.3
, pp. 796-817
-
-
Lasserre, J.B.1
-
30
-
-
40249094722
-
Extremal quantum correlations for N parties with two dichotomic observables per site
-
quantph/0512100
-
L. Masanes. Extremal quantum correlations for N parties with two dichotomic observables per site. quantph/0512100.
-
-
-
Masanes, L.1
-
31
-
-
51749100329
-
-
M. Navascués, S. Pironio, and A. Acín. A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations. arXiv:0803.4290.
-
M. Navascués, S. Pironio, and A. Acín. A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations. arXiv:0803.4290.
-
-
-
-
32
-
-
47349100170
-
Convergent relaxations for polynomial optimization with non-commutative variables
-
In preparation
-
M. Navascués, S. Pironio, and A. Acín. Convergent relaxations for polynomial optimization with non-commutative variables. In preparation.
-
-
-
Navascués, M.1
Pironio, S.2
Acín, A.3
-
33
-
-
33846400098
-
Bounding the set of quantum correlations
-
M. Navascués, S. Pironio, and A. Acín. Bounding the set of quantum correlations. Phys. Rev. Lett., 98(1):010401, 2007.
-
(2007)
Phys. Rev. Lett
, vol.98
, Issue.1
, pp. 010401
-
-
Navascués, M.1
Pironio, S.2
Acín, A.3
-
34
-
-
51749107368
-
-
Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization. PhD thesis, Caltech
-
P. A. Parrilo. Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization. PhD thesis, Caltech, 2000.
-
(2000)
-
-
Parrilo, P.A.1
-
35
-
-
1542266056
-
Semidefinite programming relaxations for semialgebraic problems
-
P. A. Parrilo. Semidefinite programming relaxations for semialgebraic problems. Math. Prog. Ser.B, 96(2):293-320, 2003.
-
(2003)
Math. Prog. Ser.B
, vol.96
, Issue.2
, pp. 293-320
-
-
Parrilo, P.A.1
-
37
-
-
34249926382
-
Correlation polytopes: Their geometry and complexity
-
I. Pitowsky. Correlation polytopes: their geometry and complexity. Math. Prog., 50:395-414, 1991.
-
(1991)
Math. Prog
, vol.50
, pp. 395-414
-
-
Pitowsky, I.1
-
39
-
-
0000181626
-
On the independence of local algebras in quantum field theory
-
S. J. Summers. On the independence of local algebras in quantum field theory. Rev. Math. Phys., 2(2):201-247, 1990.
-
(1990)
Rev. Math. Phys
, vol.2
, Issue.2
, pp. 201-247
-
-
Summers, S.J.1
-
40
-
-
33745606676
-
Entanglement in interactive proof systems with binary answers
-
Proc. of STACS 2006, of
-
S. Wehner. Entanglement in interactive proof systems with binary answers. In Proc. of STACS 2006, volume 3884 of LNCS, pages 162-171, 2006.
-
(2006)
LNCS
, vol.3884
, pp. 162-171
-
-
Wehner, S.1
-
41
-
-
33144485876
-
Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities
-
S. Wehner. Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities. Phys. Rev. A, 73:022110, 2006.
-
(2006)
Phys. Rev. A
, vol.73
, pp. 022110
-
-
Wehner, S.1
|