quantum mechanics; quantum information theory; quantum cryptography; quantum key distribution; quantum repeater; quantum marginal problem; entropy inequality; foundations of physics; entropic uncertainty relation; composability in cryptography
Dupuis Frederik, Szehr Oleg, Tomamichel Marco (2014), A decoupling approach to classical data transmission over quantum channels, in
IEEE Trans. on Inf. Theory, 60, 1562.
Berta M, Fawzi O., Wehner S. (2014), Quantum to Classical Randomness Extractors, in
IEEE Trans. Info. Theo., 60, 1168.
Dupuis F., Berta M., Wullschleger J., Renner R. (2014), The Decoupling Theorem, in
Commun. Math. Phys, 328, 251.
Buerschaper Oliver, Martin Mombelli Juan, Christandl Matthias, Aguado Miguel (2013), A hierarchy of topological tensor network states, in
JOURNAL OF MATHEMATICAL PHYSICS, 54(1), 012201.
Vitanov Alexander, Dupuis Frederic, Tomamichel Marco, Renner Renato (2013), Chain Rules for Smooth Min- and Max-Entropies, in
IEEE TRANSACTIONS ON INFORMATION THEORY, 59(5), 2603-2612.
Szehr O., Dupuis F., Tomamichel M., Renner R. (2013), Decoupling with unitary almost two designs, in
New Journal of Physics, 15, 053022.
Buerschaper O., Christandl M., Kong L., Aguado M. (2013), Electric-magnetic Duality and Topological Order on the Lattice, in
J. Math. Phys., 54, 012201.
Berta M., Brandao F.G.S.L., Christandl M., Wehner S. (2013), Entanglement Cost of Quantum Channels, in
IEEE Trans. Information Th., 59, 6779.
Walter M., Doran B., Gross D., Christandl M. (2013), Entanglement Polytopes, in
Science, 340, 1205.
Barrett Jonathan, Colbeck Roger, Kent Adrian (2013), Memory Attacks on Device-Independent Quantum Cryptography, in
PHYSICAL REVIEW LETTERS, 110(1), 010503.
Schilling Christian, Gross David, Christandl Matthias (2013), Pinning of Fermionic Occupation Numbers, in
PHYSICAL REVIEW LETTERS, 110(4), 040404.
Gross D., Walter M. (2013), Stabilizer information inequalities from phase space distributions, in
J. Math. Phys., 54, 082201.
Kleinmann Matthias, Osborne Tobias J., Scholz Volkher B., Werner Albert H. (2013), Typical Local Measurements in Generalized Probabilistic Theories: Emergence of Quantum Bipartite Correlations, in
PHYSICAL REVIEW LETTERS, 110(4), 040403.
Sawicki A., Walter M., Kus M. (2013), When is a pure state of three qubits determined by its single-particle reduced density matrices?, in
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 46(5), 055304.
Sutter David, Renes Joseph M., Dupuis Frederic, Renner Renato (2012), Achieving the Capacity of any DMC using only Polar Codes, in
2012 IEEE INFORMATION THEORY WORKSHOP (ITW), 114-118.
Dupuis F, Nielsen JB, Salvail L (2012), Actively secure two-party evaluation of any quantum operation, in
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and , 7417 LNCS, 794-811.
Ahlbrecht Andre, Cedzich Christopher, Matjeschk Robert, Scholz Volkher B., Werner Albert H., Werner Reinhard F. (2012), Asymptotic behavior of quantum walks with spatio-temporal coin fluctuations, in
QUANTUM INFORMATION PROCESSING, 11(5), 1219-1249.
Buhrman Harry, Christandl Matthias, Schaffner Christian (2012), Complete insecurity of quantum protocols for classical two-party computation., in
Physical review letters, 109(16), 160501-160501.
Christandl Matthias, Doran Brent, Walter Michael (2012), Computing Multiplicities of Lie Group Representations, in
2012 IEEE 53RD ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE (FOCS), 639-648.
Brandão Fernando G S L, Christandl Matthias (2012), Detection of multiparticle entanglement: quantifying the search for symmetric extensions., in
Physical review letters, 109(16), 160502-160502.
Renes Joseph M., Dupuis Frederic, Renner Renato (2012), Efficient Polar Coding of Quantum Information, in
PHYSICAL REVIEW LETTERS, 109(5), 050504.
Berta Mario, Christandl Matthias, Brandao Fernando G. S. L., Wehner Stephanie (2012), Entanglement Cost of Quantum Channels, in
2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT), 900-904.
Christandl Matthias, Schuch Norbert, Winter Andreas (2012), Entanglement of the Antisymmetric State, in
Communications in Mathematical Physics, 397-422.
Stuart Terence E, Slater Joshua A, Colbeck Roger, Renner Renato, Tittel Wolfgang (2012), Experimental bound on the maximum predictive power of physical theories., in
Physical review letters, 109(2), 020402-020402.
Colbeck Roger, Renner Renato (2012), Free randomness can be amplified, in
Nature Physics, 450-453.
Barak Boaz, Brandao Fernando, Harrow Aram W., Kelner Jonathan, Steurer David, Zhou Yuan (2012), Hypercontractivity, Sum-of-Squares Proofs, and their Applications, in
STOC 2012, 307-326.
Gross D., Nesme V., Vogts H., Werner R.F. (2012), Index Theory of One Dimensional QuantumWalks and Cellular Automata, in
Communications in Mathematical Physics, 419-454.
Colbeck Roger, Renner Renato (2012), Is a System's Wave Function in One-to-One Correspondence with Its Elements of Reality?, in
PHYSICAL REVIEW LETTERS, 108(15), 150402.
Ng Nelly Huei Ying, Berta Mario, Wehner Stephanie (2012), Min-entropy uncertainty relation for finite-size cryptography, in
PHYSICAL REVIEW A, 86(4), 042315.
Ahlbrecht Andre, Alberti Andrea, Meschede Dieter, Scholz Volkher B., Werner Albert H., Werner Reinhard F. (2012), Molecular binding in interacting quantum walks, in
NEW JOURNAL OF PHYSICS, 14, 073050.
Berta M, Fawzi O, Wehner S (2012), Quantum to classical randomness extractors, in
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and , 7417 LNCS, 776-793.
Christandl Matthias, Renner Renato (2012), Reliable Quantum State Tomography, in
PHYSICAL REVIEW LETTERS, 109(12), 120403.
Appleby D.M., Bengtsson Ingemar, Brierley Stephen, Grassl Markus, Gross David, Larsson Jan-Ake (2012), THE MONOMIAL REPRESENTATIONS OF THE CLIFFORD GROUP, in
Quantum Information and Computation,, 0404-0431.
Coles Patrick J., Colbeck Roger, Yu Li, Zwolak Michael (2012), Uncertainty Relations from Simple Entropic Properties, in
PHYSICAL REVIEW LETTERS, 108(21), 210405.
Barrett Jonathan, Colbeck Roger, Kent Adrian (2012), Unconditionally secure device-independent quantum key distribution with only two devices, in
PHYSICAL REVIEW A, 86(6), 062326.
Berta Mario, Christandl Matthias, Renner Renato (2011), A Conceptually Simple Proof of the Quantum Reverse Shannon Theorem, in
THEORY OF QUANTUM COMPUTATION, COMMUNICATION, AND CRYPTOGRAPHY, 6519, 131-140.
Brandao Fernando G. S. L., Christandl Matthias, Yard Jon (2011), A Quasipolynomial-Time Algorithm for the Quantum Separability Problem, in
STOC 11: PROCEEDINGS OF THE 43RD ACM SYMPOSIUM ON THEORY OF COMPUTING, 343-351.
Mueller Markus P., Gross David, Eisert Jens (2011), Concentration of Measure for Quantum States with a Fixed Expectation Value, in
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 303(3), 785-824.
Buergisser Peter, Christandl Matthias, Ikenmeyer Christian (2011), Even partitions in plethysms, in
JOURNAL OF ALGEBRA, 328(1), 322-329.
Brandao Fernando, Christandl Matthias, Yard Jon (2011), Faithful Squashed Entanglement Fernando, in
Communications in Mathematical Physics, 805-830.
Buergisser Peter, Christandl Matthias, Ikenmeyer Christian (2011), Nonvanishing of Kronecker coefficients for rectangular shapes, in
ADVANCES IN MATHEMATICS, 227(5), 2082-2091.
Gross David (2011), Recovering Low-Rank Matrices From Few Coefficients in Any Basis, in
IEEE TRANSACTIONS ON INFORMATION THEORY, 57(3), 1548-1566.
Berta Mario, Christandl Matthias, Renner Renato (2011), The Quantum Reverse Shannon Theorem Based on One-Shot Information Theory, in
Communications in Mathematical Physics, 579-615.
Cramer M, Plenio MB, Flammia ST, Somma R, Gross D, Bartlett SD, Landon-Cardinal O, Poulin D, Liu Y-K (2010), Efficient quantum state tomography, in
Nature Communications, 1(9), 1:149.
Christandl Matthias, Schuch Norbert, Winter Andreas (2010), Highly Entangled States with Almost No Secrecy, in
PHYSICAL REVIEW LETTERS, 104(24), 240405.
Tóth G, Wieczorek W, Gross D, Krischek R, Schwemmer C, Weinfurter H (2010), Permutationally invariant quantum tomography., in
Physical review letters, 105(25), 250403-250403.
Laiho Kaisa, Cassemiro Katiúscia N, Gross David, Silberhorn Christine (2010), Probing the negative Wigner function of a pulsed single photon point by point., in
Physical review letters, 105(25), 253603-253603.
Berta Mario, Christandl Matthias, Colbeck Roger, Renes Joseph M., Renner Renato (2010), The uncertainty principle in the presence of quantum memory, in
NATURE PHYSICS, 6(9), 659-662.
The proposed research contributes to the field of quantum cryptography. Quantum cryptography is part of quantum information science, a research area which is formed in the intersection between computer science and quantum physics. Built on the paradigm that information is stored and processed in physical devices, which are made out of atoms and photons and described by quantum physics, the aim of quantum information science is twofold: on the one hand, it aims to understand the fundamental principles behind information processing in quantum physics and, on the other hand, to take these new possibilities for information processing and develop them into novel information technologies. Cryptography aims at realising secure communication along insecure communication channels and among parties that do not trust each other. Quantum cryptography has been shown to offer levels of security unattainably by classical means and is regarded as the most promising field of research from which quantum technologies will emerge in the near future. In recent years, progress has been made in understanding the concept of security in quantum physics, but a firm theoretical base for quantum cryptography as a future technology is still missing. It is the aim of the proposed project to narrow this gap and to contribute to the Theoretical Foundations of Quantum Cryptography. This will be done on two levels of investigation moving from more fundamental questions in Subproject A to more applied research in Subproject B. In Subproject A, we propose to investigate the structure of quantum states that are divided between different parties. This research is motivated by security requirements which are expressed as conditions on the structure of such states. The proposed research will focus in particular on the quantum marginal problem, which directly concerns structural requirements, on entropy inequalities and their use in quantum communication theory, and on entropic uncertainty relations and their role in proofs of security. The research will contribute to the understanding of the concept of security in quantum physics. In Subproject B, we set out to tackle two important open problems in quantum cryptography. The first problem deals with the issue of composability of quantum protocols. That is, the question of how secure cryptographic components can be assembled into a larger cryptographic system and how it is possible to argue that the security of the larger system is implied by the security of its components. We propose to develop a comprehensive and at the same time practical framework of composability and to apply this framework in order to prove the composable security of existing protocols. The second problem deals with a specific task, namely that of long-distance quantum key distribution. We will develop a theory of the quantum repeater, an amplifier for quantum correlations, that allows to extend quantum key distribution to arbitrary distances. It is our goal to understand the limits and possibilities of this device. In particular, we will aim for the design of quantum repeaters that can work in more noisy and thus more realistic environments, thereby aiding the development of quantum cryptography as a viable future technology.The proposed research will contribute to the Theoretical Foundations of Quantum Cryptography by providing, on the one hand, a better understanding of the concept of security in quantum physics and by providing, on the other hand, the theoretical tools for the study of larger cryptographic systems in realistic environments. On a more general level, we expect the tools developed in this research project to have application in the wider areas of quantum information science and quantum physics.