Matthias Christandl

Publikation

Publikationer pr. år 2003 2011 2012 2013 2017 2018 2019 2019

• 60 Tidsskriftartikel
• 6 Konferencebidrag i proceedings
• 3 Bidrag til bog/antologi
• 1 Kommentar/debat

Publikationer pr. år

Publikationer pr. år

Søgeresultater

• 2019

  Asymptotic tensor rank of graph tensors: beyond matrix multiplication

  Christandl, M., Vrana, P. & Zuiddam, J., 2019, I: Computational Complexity. 28, 1, s. 57-111 55 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Matrix Multiplication 100%
  • Tensor 100%
  • Asymptotics 100%
  • Rank Tensor 100%
  • Graph-tensor 100%
  3 Citationer (Scopus)

  11 Downloads (Pure)

• Barriers for fast matrix multiplication from irreversibility

  Christandl, M., Vrana, P. & Zuiddam, J., 2019, 34th Computational Complexity Conference, CCC 2019. Shpilka, A. (red.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 17 s. 26. (Leibniz International Proceedings in Informatics, LIPIcs, Bind 137).

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  • Matrix Multiplication 100%
  • Tensor 100%
  • Irreversibility 100%
  • Upper Bound 50%
  • Algebraic Complexity 50%
  3 Citationer (Scopus)

  7 Downloads (Pure)

• Border Rank Is Not Multiplicative under the Tensor Product

  Christandl, M., Gesmundo, F. & Jensen, A. K., 2019, I: SIAM Journal on Applied Algebra and Geometry. 3, 2, s. 231–255

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  4 Citationer (Scopus)

• Distillation of Greenberger-Horne-Zeilinger States by Combinatorial Methods

  Vrana, P. & Christandl, M., 2019, I: IEEE Transactions on Information Theory. 65, 9, s. 5945-5958

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  • Local Operation 100%
  • Classical Communication 100%
  • Distillation 100%
  • Greenberger-Horne-Zeilinger State 100%
  • Combinatorial Method 100%

• On the partially symmetric rank of tensor products of W-states and other symmetric tensors

  Ballico, E., Bernardi, A., Christandl, M. & Gesmundo, F., 2019, I: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni. 30, 1, s. 93-124

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  • Partially Symmetric Rank 100%
  • Symmetric Tensor 100%
  • Tensor 100%
  • Partially Symmetric Tensors 33%
  • Information Theory 12%
  10 Citationer (Scopus)

• Tensor surgery and tensor rank

  Christandl, M. & Zuiddam, J., 11 mar. 2019, I: Computational Complexity. 28, 1, s. 27–56

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  • Tensor 100%
  • Rank Tensor 100%
  • Odd-cycle Graphs 50%
  • Virtual Edge 50%
  • Rectangular Matrix multiplication 50%
  3 Citationer (Scopus)

• When Do Composed Maps Become Entanglement Breaking?

  Christandl, M., Müller-Hermes, A. & Wolf, M. M., 1 jul. 2019, I: Annales Henri Poincare. 20, 7, s. 2295-2322

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  • Completely Positive Maps 100%
  • Completely positive maps 100%
  • Schmidt number 75%
  • Schmidt Number 75%
  • Low-rank 25%
  7 Citationer (Scopus)
• 2018

  Generalized Pauli constraints in small atoms

  Schilling, C., Altunbulak, M., Knecht, S., Lopes, A., Whitfield, J. D., Christandl, M., Gross, D. & Reiher, M., 9 maj 2018, I: Physical Review A. 97, 5, 12 s., 052503.

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  • wavefunction ψ 100%
  • Mathematical Method 100%
  • Mathematical Structure 100%
  • Occupation Number 100%
  • Electronic State 100%
  12 Citationer (Scopus)

• Random Private Quantum States

  Christandl, M., Ferrara, R. & Lancien, C., 2018, 2018 IEEE International Symposium on Information Theory, ISIT 2018. IEEE, s. 1784-1788 5 s.

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  • Quantum Entanglement 100%
  • Entropy Measure 100%
  • Quantum Dot 100%
  • Quantum State 100%
  • Entangled State 14%
  2 Downloads (Pure)

• Recoupling Coefficients and Quantum Entropies

  Christandl, M., Sahinoglu, M. B. & Walter, M., 1 feb. 2018, I: Annales Henri Poincare. 19, 2, s. 385-410

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  • Quantum Entropy 100%
  • Hermitian Matrix 60%
  • Symmetric Group 40%
  • Quantum State 40%
  • Eigenvalues 40%
  3 Citationer (Scopus)

• Tensor rank is not multiplicative under the tensor product

  Christandl, M., Jensen, A. K. & Zuiddam, J., 15 apr. 2018, I: Linear Algebra and Its Applications. 543, s. 125-139 15 s.

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  • Multiplicative 100%
  • Tensor 100%
  • Rank Tensor 100%
  • Tensor Rank 100%
  • Border Rank 37%
  8 Citationer (Scopus)

• The border support rank of two-by-two matrix multiplication is seven

  Bläser, M., Christandl, M. & Zuiddam, J., 2018, I: Chicago Journal of Theoretical Computer Science. 2018, s. 1-16 5.

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  95 Downloads (Pure)

• Universal points in the asymptotic spectrum of tensors

  Christandl, M., Vrana, P. & Zuiddam, J., 2018, STOC 2018 - Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing. Henzinger, M., Kempe, D. & Diakonikolas, I. (red.). Association for Computing Machinery, s. 289-296

  Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

  • Asymptotic Spectrum 100%
  • Slice Rank 100%
  • Restriction Problem 100%
  • Complex Tensor 50%
  • Query Complexity 50%
  13 Citationer (Scopus)
• 2017

  Analytic next-to-nearest-neighbor XX models with perfect state transfer and fractional revival

  Christandl, M., Vinet, L. & Zhedanov, A., 25 sep. 2017, I: Physical Review A. 96, 3, 10 s., 032335.

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  • Fractional Revival 100%
  • XX Model 100%
  • Perfect State Transfer 100%
  • Waveguide 100%
  • Coupled Waveguides Arrays 50%
  11 Citationer (Scopus)

• Catalytic Decoupling of Quantum Information

  Majenz, C., Berta, M., Dupuis, F., Renner, R. & Christandl, M., 23 feb. 2017, I: Physical Review Letters. 118, 8, 6 s., 080503.

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  • Black Hole 100%
  • Physics 100%
  • Quantum Information Theory 100%
  • Quantum Information 100%
  • Black Hole Radiation 100%
  20 Citationer (Scopus)

• Entanglement Distillation from Greenberger-Horne-Zeilinger Shares

  Vrana, P. & Christandl, M., 1 jun. 2017, I: Communications in Mathematical Physics. 352, 2, s. 621-627

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  • Entanglement Distillation 100%
  • Hypergraphs 100%
  • Hypergraph 66%
  • Hyperedge 33%
  • Asymptotic Rates 33%
  7 Citationer (Scopus)

• Membership in Moment Polytopes is in NP and coNP

  Buergisser, P., Christandl, M., Mulmuley, K. D. & Walter, M., 2017, I: S I A M Journal on Computing. 46, 3, s. 972-991

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  • Moment Polytope 100%
  • Polytope 100%
  • Unitary Representation 100%
  • ArXiv 33%
  • Preprints 33%
  10 Citationer (Scopus)

• Nondeterministic quantum communication complexity: The cyclic equality game and iterated matrix multiplication

  Buhrman, H., Christandl, M. & Zuiddam, J., 2017, 8th Innovations in Theoretical Computer Science Conference, ITCS 2017. Papadimitriou, C. H. (red.). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, s. 1-18 24. (Leibniz International Proceedings in Informatics, LIPIcs, Bind 67).

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  • Quantum Communication 100%
  • Matrix Multiplication 100%
  • Communication Complexity 100%
  • Quantum Communication Complexity 100%
  • Equality Problem 66%
  5 Citationer (Scopus)

  10 Downloads (Pure)

• Private States, Quantum Data Hiding, and the Swapping of Perfect Secrecy

  Christandl, M. & Ferrara, R., 30 nov. 2017, I: Physical Review Letters. 119, 22, 6 s., 220506.

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  • Quantum Data Hiding 100%
  • Perfect Secrecy 100%
  • Mechanical Phenomenon 50%
  • Secret Key Rate 33%
  • Distillable Entanglement 33%
  7 Citationer (Scopus)

• Quantum circuits for quantum channels

  Iten, R., Colbeck, R. & Christandl, M., 9 maj 2017, I: Physical Review A. 95, 5, 9 s., 052316.

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  • Qubit 100%
  • Quantum Channel 100%
  • Quantum Circuit 100%
  • Quantum Dot 100%
  • Control Gate 75%
  9 Citationer (Scopus)

• Relative Entropy Bounds on Quantum, Private and Repeater Capacities

  Christandl, M. & Müller-Hermes, A., 1 jul. 2017, I: Communications in Mathematical Physics. 353, 2, s. 821-852

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  • Relative Entropy 100%
  • Assisted Capacity 33%
  • Quantum Capacity 33%
  • Converse Bounds 33%
  • Max-relative Entropy 33%
  33 Citationer (Scopus)
• 2016

  Clean Quantum and Classical Communication Protocols

  Buhrman, H., Christandl, M., Perry, C. D. & Zuiddam, J., 1 dec. 2016, I: Physical Review Letters. 117, 23, 5 s., 230503.

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  • Quantum Communication 100%
  • Qubit 100%
  • Classical Communication 100%
  • Entanglement 100%
  • Communication Protocol 100%

• Quantum circuits for isometries

  Iten, R., Colbeck, R., Kukuljan, I., Home, J. & Christandl, M., 11 mar. 2016, I: Physical Review A (Atomic, Molecular and Optical Physics). 93, 3, 19 s., 032318.

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  • Arbitrary Isometry 100%
  • Quantum Circuit 100%
  • Quantum Dot 100%
  • Single Qubit 50%
  • Quantum Computer 50%
  23 Citationer (Scopus)

• Smooth Entropy Bounds on One-Shot Quantum State Redistribution

  Berta, M., Christandl, M. & Touchette, D., mar. 2016, I: I E E E Transactions on Information Theory. 62, 3, s. 1425-1439

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  • Quantum State 100%
  • Smooth Entropies 100%
  • Quantum Communication 100%
  • Quantum Entanglement 50%
  • Conditional Entropy 50%
  23 Citationer (Scopus)
• 2015

  Asymptotic entanglement transformation between W and GHZ states

  Vrana, P. & Christandl, M., 20 feb. 2015, I: Journal of Mathematical Physics. 56, 2, 022204.

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  • Entanglement Transformation 100%
  • GHZ State 100%
  • W State 100%
  • Asymptotics 100%
  • Conversion Rate 100%
  14 Citationer (Scopus)

• Limitations on quantum key repeaters

  Baeuml, S., Christandl, M., Horodecki, K. & Winter, A., 23 apr. 2015, I: Nature Communications. 6, 6908.

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  • Repeater 100%
  • Quantum Key Distribution 100%
  • Quantum Cryptography 100%
  • Entangled State 25%
  • Communication Line 25%
  25 Citationer (Scopus)
• 2014

  Eigenvalue Distributions of Reduced Density Matrices

  Christandl, M., Doran, B., Kousidis, S. & Walter, M., nov. 2014, I: Communications in Mathematical Physics. 332, s. 1-52

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  • Symplectic Geometry 100%
  • Indistinguishable Particles 100%
  • Marginal Problem 100%
  • Coadjoint Action 50%
  • Plethysm Coefficients 50%
  24 Citationer (Scopus)

• Full Security of Quantum Key Distribution From No-Signaling Constraints

  Masanes, L., Renner, R., Christandl, M., Winter, A. & Barrett, J., aug. 2014, I: I E E E Transactions on Information Theory. 60, 8, s. 4973-4986

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  25 Citationer (Scopus)

• Position-momentum uncertainty relations in the presence of quantum memory

  Furrer, F., Berta, M., Tomamichel, M., Scholz, V. B. & Christandl, M., 23 dec. 2014, I: Journal of Mathematical Physics. 55, 12, 122205.

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  34 Citationer (Scopus)
• 2013

  A hierarchy of topological tensor network states

  Buerschaper, O., Martin Mombelli, J., Christandl, M. & Aguado, M., 22 jan. 2013, I: Journal of Mathematical Physics. 54, 1

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  • Topological Lattice Models 100%
  • Entanglement Renormalization 100%
  • Topological Entanglement Entropy 100%
  • Quantum Many-body States 100%
  • Topological Charge 100%
  25 Citationer (Scopus)

• Electric-magnetic duality of lattice systems with topological order

  Buerschaper, O., Christandl, M., Kong, L. & Aguado, M., 11 nov. 2013, I: Nuclear Physics, Section B. 876, 2, s. 619-636

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  • Electric-magnetic Duality 100%
  • Topological Order 100%
  • Electromagnetic Duality 100%
  • Magnetism 100%
  • Electromagnetism 100%
  17 Citationer (Scopus)

• Entanglement Cost of Quantum Channels

  Berta, M., Brandao, F. G. S. L., Christandl, M. & Wehner, S., okt. 2013, I: I E E E Transactions on Information Theory. 59, 10, s. 6779-6795

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  • Entanglement Cost 100%
  • Transmitter 100%
  • Reverse Shannon Theorem 33%
  • Regularized Optimization 16%
  • Entanglement of Formation 16%
  33 Citationer (Scopus)

• Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information

  Walter, M., Doran, B., Gross, D. & Christandl, M., 7 jun. 2013, I: Science. 340, 6137, s. 1205-1208

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  • Entanglement Polytopes 100%
  • Interferometry 100%
  • Quantum Computing 100%
  • Exponential number 25%
  • Global Entanglement 25%
  89 Citationer (Scopus)

• Pinning of Fermionic Occupation Numbers

  Schilling, C., Gross, D. & Christandl, M., 22 jan. 2013, I: Physical Review Letters. 110, 4, 040404 .

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  • Occupation Number 100%
  • Pauli Exclusion Principle 33%
  • Hartree Approximation 33%
  • Pauli Principle 25%
  • Generalised Pauli Constraints 25%
  76 Citationer (Scopus)
• 2012

  Complete Insecurity of Quantum Protocols for Classical Two-Party Computation

  Buhrman, H., Christandl, M. & Schaffner, C., 17 okt. 2012, I: Physical Review Letters. 109, 16

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  • Quantum Protocol 100%
  • Two-party Computation 100%
  • Creative Commons 100%
  • Coin Tossing 33%
  • Cryptography 33%
  37 Citationer (Scopus)

• Computing Multiplicities of Lie Group Representations

  Christandl, M., Doran, B. & Walter, M., 2012, 2012 IEEE 53rd Annual Symposium on Foundations of Computer Science (FOCS). IEEE, s. 639-648 10 s.

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  • Representations of Lie Groups 100%
  • Number of Rows 100%
  • Geometric Complexity Theory 100%
  • Irreducible Representation 100%
  • Orbit Closure 100%
  21 Citationer (Scopus)

• Detection of Multiparticle Entanglement: Quantifying the Search for Symmetric Extensions

  Brandao, F. G. S. L. & Christandl, M., 17 okt. 2012, I: Physical Review Letters. 109, 16

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  • Symmetric Extension 100%
  • Multiparticle Entanglement 100%
  • Frobenius Norm 100%
  • De Finetti 100%
  • Separable States 33%
  17 Citationer (Scopus)

• Entanglement Cost of Quantum Channels

  Berta, M., Christandl, M., G. S. L. Brandao, F. & Wehner, S., 2012, 2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT). IEEE, s. 900-904 5 s. (IEEE International Symposium on Information Theory - Proceedings).

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  • Entanglement Cost 100%
  • Quantum Channel 100%
  • Quantum Information 100%
  • Storage Devices 50%
  • Coding Scheme 25%
  8 Citationer (Scopus)

• Entanglement of the antisymmetric state

  Christandl, M., Schuch, N. & Winter, A., apr. 2012, I: Communications in Mathematical Physics. 311, 2, s. 397-422 26 s.

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  • Relative Entropy 100%
  • Unitary Group 100%
  28 Citationer (Scopus)

• Erratum: Faithful Squashed Entanglement

  Brandao, F. G. S. L., Christandl, M. & Yard, J., 2012, I: Communications in Mathematical Physics. 316, 1, s. 287-288

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  3 Citationer (Scopus)

• Reliable Quantum State Tomography

  Christandl, M. & Renner, R., 19 sep. 2012, I: Physical Review Letters. 109, 12

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  • Confidence Region 100%
  • Tomography 100%
  • Qubit 100%
  • True State 66%
  • Operational Significance 33%
  97 Citationer (Scopus)

• Reliable Quantum State Tomography (vol 109, 120403, 2012)

  Christandl, M. & Renner, R., 2012, I: Physical Review Letters. 109, 15

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  4 Citationer (Scopus)
• 2011

  A Conceptually Simple Proof of the Quantum Reverse Shannon Theorem

  Berta, M., Christandl, M. & Renner, R., 2011, THEORY OF QUANTUM COMPUTATION, COMMUNICATION, AND CRYPTOGRAPHY. s. 131-140 (Lecture notes in computer science, Bind 6519).

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  • Quant 100%
  • Quantum Channel 100%
  • Theorem State 50%
  3 Citationer (Scopus)

• A Quasipolynomial-Time Algorithm for the Quantum Separability Problem

  Brandao, F. G. S. L., Christandl, M. & Yard, J., 2011, STOC 11: PROCEEDINGS OF THE 43RD ACM SYMPOSIUM ON THEORY OF COMPUTING. s. 343-351

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  • Local Operation 100%
  • Classical Communication 100%
  • Quasi-polynomial Time Algorithms 100%
  • Density Matrix 100%
  • Quantum Entanglement 100%
  32 Citationer (Scopus)

• Even partitions in plethysms

  Buergisser, P., Christandl, M. & Ikenmeyer, C., 15 feb. 2011, I: Journal of Algebra. 328, 1, s. 322-329

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  • Information Theory 100%
  • Natural Number 100%
  • Irreducibles 100%
  • Plethysm 100%
  • Natural numbers 33%
  15 Citationer (Scopus)

• Faithful Squashed Entanglement

  Brandao, F. G. S. L., Christandl, M. & Yard, J., sep. 2011, I: Communications in Mathematical Physics. 306, 3, s. 805-830

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  • Quantum Information Theory 100%
  • Strong Subadditivity 33%
  • Communication Norms 33%
  • Quantum Conditional mutual Information 33%
  • Euclidean Norm 33%
  84 Citationer (Scopus)

• Nonvanishing of Kronecker coefficients for rectangular shapes

  Buergisser, P., Christandl, M. & Ikenmeyer, C., 1 aug. 2011, I: Advances in Mathematics. 227, 5, s. 2082-2091

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  • Kronecker Coefficients 100%
  • Rectangular Shape 100%
  • Irreducible Representation 100%
  • Rectangular Partition 50%
  • Representations of Symmetric Groups 50%
  15 Citationer (Scopus)

• The Quantum Reverse Shannon Theorem Based on One-Shot Information Theory

  Berta, M., Christandl, M. & Renner, R., sep. 2011, I: Communications in Mathematical Physics. 306, 3, s. 579-615

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  • One-shot Information Theory 100%
  • Classical Capacity 50%
  • Shor 50%
  • Quantum State Merging 50%
  96 Citationer (Scopus)
• 2010

  Highly Entangled States with Almost No Secrecy

  Christandl, M., Schuch, N. & Winter, A., 17 jun. 2010, I: Physical Review Letters. 104, 24

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  • Squashed Entanglement 100%
  • Entanglement Measure 50%
  • Relative Entropy of Entanglement 50%
  • Bipartite Entanglement 50%
  15 Citationer (Scopus)

• The uncertainty principle in the presence of quantum memory

  Berta, M., Christandl, M., Colbeck, R., Renes, J. M. & Renner, R., 10 sep. 2010, I: Nature Physics. 6, 9, s. 659-662

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  • Uncertainty Principle 100%
  • Arbitrary Precision 33%
  • Quantum Key Distribution 33%
  • Quantum Cryptography 33%
  397 Citationer (Scopus)