Michał Horodecki

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Michał Horodecki is affiliated with the following schools: University of Gdańsk, University of Warsaw

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Michał Horodecki

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Physics

Michał Horodecki's Degrees

PhD Physics University of Gdańsk
Masters Physics University of Gdańsk

Why Is Michał Horodecki Influential?

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According to Wikipedia, Michał Horodecki is a Polish physicist at the University of Gdańsk working in the field of quantum information theory, notable for his work on entanglement theory. He co-discovered the Peres-Horodecki criterion for testing whether a state is entangled, and used it to find bound entanglement together with his brother Paweł Horodecki and father Ryszard Horodecki. He co-discovered with Jonathan Oppenheim, Paweł Horodecki and Karol Horodecki that secret key can be drawn from some bound entangled states. Together with Fernando Brandao he proved that every one-dimensional quantum state with a finite correlation length obeys an area law for entanglement entropy. Together with Jonathan Oppenheim and Andreas Winter, he discovered quantum state-merging and used this primitive to show that quantum information could be negative.

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Michał Horodecki's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Separability of mixed states: necessary and sufficient conditions (1996) (2327)
Quantum entanglement (2007) (1017)
Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature? (1998) (892)
General teleportation channel, singlet fraction and quasi-distillation (1998) (657)
Reduction criterion of separability and limits for a class of distillation protocols (1999) (605)
Violating Bell inequality by mixed spin- {1}/{2} states: necessary and sufficient condition (1995) (589)
Fundamental limitations for quantum and nanoscale thermodynamics (2011) (588)
The second laws of quantum thermodynamics (2013) (558)
Resource theory of quantum states out of thermal equilibrium. (2011) (475)
Thermodynamical approach to quantifying quantum correlations. (2001) (375)
Local versus nonlocal information in quantum-information theory: Formalism and phenomena (2004) (351)
Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments (2002) (346)
Partial quantum information (2005) (314)
Quantum State Merging and Negative Information (2005) (287)
Secure key from bound entanglement. (2003) (279)
Inseparable Two Spin- 1 2 Density Matrices Can Be Distilled to a Singlet Form (1997) (270)
BOUND ENTANGLEMENT CAN BE ACTIVATED (1998) (265)
Direct estimations of linear and nonlinear functionals of a quantum state. (2002) (264)
The asymptotic entanglement cost of preparing a quantum state (2000) (256)
Dynamics of quantum entanglement (2000) (254)
Limits for entanglement measures. (1999) (239)
Entanglement measures (2001) (234)
The entanglement of purification (2002) (230)
Local random quantum circuits are approximate polynomial-designs: numerical results (2012) (230)
The Universal Composable Security of Quantum Key Distribution (2004) (224)
Limitations on the Evolution of Quantum Coherences: Towards Fully Quantum Second Laws of Thermodynamics. (2015) (221)
QUANTUMNESS IN THE CONTEXT OF) RESOURCE THEORIES (2012) (212)
The uniqueness theorem for entanglement measures (2001) (198)
Locking classical correlations in quantum States. (2003) (194)
Reversible transformations from pure to mixed states and the unique measure of information (2002) (189)
Teleportation, Bell's inequalities and inseparability (1996) (180)
Local indistinguishability: more nonlocality with less entanglement. (2003) (165)
Quantum α-entropy inequalities: independent condition for local realism? (1996) (148)
A Decoupling Approach to the Quantum Capacity (2007) (146)
Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps (2000) (144)
Local environment can enhance fidelity of quantum teleportation (1999) (125)
On the necessary and sufficient conditions for separability of mixed quantum states (1996) (124)
General Paradigm for Distilling Classical Key From Quantum States (2005) (124)
Exponential Decay of Correlations Implies Area Law (2012) (124)
Local information as a resource in distributed quantum systems. (2002) (122)
On Thermal Stability of Topological Qubit in Kitaev's 4D Model (2008) (120)
An area law for entanglement from exponential decay of correlations (2013) (110)
Mixed-State Entanglement and Quantum Communication (2001) (107)
Thermodynamics of Quantum Information Systems — Hamiltonian Description (2004) (101)
Irreversibility for all bound entangled states. (2005) (100)
On thermalization in Kitaev's 2D model (2008) (99)
Are the laws of entanglement theory thermodynamical? (2002) (92)
Universal Quantum Information Compression (1998) (91)
Squashed Entanglement for Multipartite States and Entanglement Measures Based on the Mixed Convex Roof (2007) (91)
Dynamical description of quantum computing: Generic nonlocality of quantum noise (2001) (87)
Quantum information can be negative (2005) (84)
Quantifying contextuality. (2012) (79)
An additive and operational entanglement measure: conditional entanglement of mutual information. (2008) (76)
Continuity of relative entropy of entanglement (1999) (75)
Separability of Mixed Quantum States: Linear Contractions and Permutation Criteria (2006) (71)
Postulates for measures of genuine multipartite correlations (2008) (70)
Global information balance in quantum measurements. (2007) (69)
Local Random Quantum Circuits are Approximate Polynomial-Designs (2016) (63)
Convergence to equilibrium under a random Hamiltonian. (2011) (60)
On Hastings' Counterexamples to the Minimum Output Entropy Additivity Conjecture (2009) (59)
A statistical mechanics view on Kitaev's proposal for quantum memories (2007) (59)
Low-Dimensional Bound Entanglement With One-Way Distillable Cryptographic Key (2005) (57)
Limits for compression of quantum information carried by ensembles of mixed states (1997) (56)
Binding entanglement channels (1999) (56)
Self-correcting quantum computers (2009) (55)
Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences (2014) (54)
Realistic noise-tolerant randomness amplification using finite number of devices (2016) (54)
Quantum Key Distribution Based on Private States: Unconditional Security Over Untrusted Channels With Zero Quantum Capacity (2006) (52)
Creating a Superposition of Unknown Quantum States. (2015) (51)
Entanglement and thermodynamical analogies (1998) (51)
A Sufficient Set of Experimentally Implementable Thermal Operations for Small Systems (2015) (51)
Classical capacity of a noiseless quantum channel assisted by noisy entanglement (2001) (50)
Entanglement processing and statistical inference: The Jaynes principle can produce fake entanglement (1999) (50)
Locking entanglement with a single qubit. (2004) (50)
A Few Steps More Towards NPT Bound Entanglement (2007) (49)
Unifying Classical and Quantum Key Distillation (2006) (48)
Quantum communication complexity advantage implies violation of a Bell inequality (2015) (46)
Concurrence in arbitrary dimensions (2001) (45)
LETTER TO THE EDITOR: On asymptotic continuity of functions of quantum states (2005) (45)
Properties of quantum nonsignaling boxes (2006) (44)
How to reuse a one-time pad and other notes on authentication encryption and protection of quantum information (2003) (44)
Optimal strategy for a single-qubit gate and the trade-off between opposite types of decoherence (2003) (43)
Exponential quantum speed-ups are generic (2010) (43)
N ov 2 01 1 Fundamental limitations for quantum and nano thermodynamics (2011) (43)
Mutually exclusive aspects of information carried by physical systems: Complementarity between local and nonlocal information (2003) (42)
Efficient Quantum Pseudorandomness. (2016) (39)
Simplifying Monotonicity Conditions for Entanglement Measures (2004) (39)
Reduction criterion of separability and limits for a class of protocols of entanglement distillation (1997) (38)
Unbounded Violation of Quantum Steering Inequalities. (2014) (37)
Randomness Amplification under Minimal Fundamental Assumptions on the Devices. (2016) (34)
Robust Device-Independent Randomness Amplification with Few Devices (2013) (34)
Free randomness amplification using bipartite chain correlations (2013) (33)
Quantum metrology: Heisenberg limit with bound entanglement (2014) (33)
Constructive counterexamples to the additivity of the minimum output Rényi entropy of quantum channels for all p > 2 (2009) (32)
Characterization of Combinatorially Independent Permutation Separability Criteria (2005) (32)
Port-based teleportation in arbitrary dimension (2016) (31)
Locally accessible information: how much can the parties gain by cooperating? (2003) (30)
Optimal port-based teleportation (2017) (27)
On quantum advantage in dense coding (2007) (26)
Contextuality offers device-independent security (2010) (26)
Balance of information in bipartite quantum-communication systems: Entanglement-energy analogy (2000) (26)
Rates of asymptotic entanglement transformations for bipartite mixed states: Maximally entangled states are not special (2002) (25)
Are there basic laws of quantum information processing (1997) (25)
Common Origin of No-Cloning and No-Deleting Principles Conservation of Information (2004) (24)
Separability of mixed quantum states: linear contractions approach (2002) (24)
Distillation protocols: output entanglement and local mutual information. (2004) (22)
Unconditional privacy over channels which cannot convey quantum information. (2007) (22)
Randomness amplification against no-signaling adversaries using two devices (2015) (21)
Towards a Unified Approach to Information-Disturbance Tradeoffs in Quantum Measurements (2008) (21)
Generalized teleportation and entanglement recycling. (2012) (21)
Long-distance quantum communication over noisy networks without long-time quantum memory (2012) (20)
Decomposability and convex structure of thermal processes (2017) (20)
When are Popescu-Rohrlich boxes and random access codes equivalent? (2013) (20)
No-deleting and no-cloning principles as consequences of conservation of quantum information (2003) (20)
A simplified formalism of the algebra of partially transposed permutation operators with applications (2017) (19)
Generalized quantum measurements and local realism (1996) (19)
Simple scheme for encoding and decoding a qubit in unknown state for various topological codes (2014) (19)
Entangled inputs cannot make imperfect quantum channels perfect. (2010) (19)
QUANTUMNESS OF ENSEMBLE FROM NO-BROADCASTING PRINCIPLE (2005) (17)
Group-representation approach to 1→N universal quantum cloning machines (2013) (17)
Extremal distributions under approximate majorization (2017) (17)
Epsilon-Nets, Unitary Designs, and Random Quantum Circuits (2020) (17)
Optimal compression for mixed signal states (1999) (16)
Dual entanglement measures based on no local cloning and no local deleting (12 pages) (2004) (16)
Quantification of quantum correlation of ensembles of states (2003) (15)
No Quantum Realization of Extremal No-Signaling Boxes. (2014) (15)
Quantum entanglement: Reversible path to thermodynamics (2008) (15)
Conjectured strong complementary-correlations tradeoff (2012) (15)
Erratum: Asymptotic entanglement manipulations can be genuinely irreversible. [Phys. Rev. Lett. {\bf 84}, 4260 (2000)] (1999) (15)
Region of fidelities for a 1→N universal qubit quantum cloner (2012) (15)
Amplifying the Randomness of Weak Sources Correlated With Devices (2016) (15)
Robust Device Independent Randomness Amplification (2013) (14)
Structure and properties of the algebra of partially transposed permutation operators (2013) (14)
Classical information deficit and monotonicity on local operations (2004) (13)
Conditional uncertainty principle (2015) (13)
Thermodynamics of Minimal Coupling Quantum Heat Engines (2020) (13)
Gadget structures in proofs of the Kochen-Specker theorem (2018) (13)
Can one build a quantum hard drive? A no-go theorem for storing quantum information in equilibrium systems (2006) (12)
Einstein-Podolsky-Rosen paradox without entanglement (1998) (12)
Quantum Coding Theorem from Privacy and Distinguishability (2007) (12)
Commutant structure of U⊗(n − 1)⊗U* transformations (2013) (12)
DIRECT DETECTION OF QUANTUM ENTANGLEMENT (2003) (12)
Information-thermodynamics link revisited (2019) (12)
No-broadcasting of non-signalling boxes via operations which transform local boxes into local ones (2011) (11)
Linear game non-contextuality and Bell inequalities—a graph-theoretic approach (2015) (11)
A new type of complementarity between quantum and classical information (2002) (11)
Remarks on the Equivalence of Full Additivity and Monotonicity for the Entanglement Cost (2007) (11)
Information Theories with Adversaries, Intrinsic Information, and Entanglement (2005) (11)
Local indistinguishability and LOCC monotones (2002) (11)
Information content of systems as a physical principle (2017) (10)
Second law of thermodynamics for batteries with vacuum state (2019) (10)
Are there phase transitions in information space? (2002) (10)
Distillability of inseparable quantum systems (1996) (10)
Efficient Multi Port-Based Teleportation Schemes (2020) (9)
Quantum error-correction codes and absolutely maximally entangled states (2019) (9)
A universal quantum estimator (2001) (9)
Entanglement distillation by extendible maps (2011) (9)
On the necessary and sufficient conditions for separability of quantum mixed states (1996) (9)
Practical No-Signalling proof Randomness Amplification using Hardy paradoxes and its experimental implementation (2020) (9)
Asymptotic entanglement manipulations can be genuinely irreversible (1999) (8)
Unbounded violation of steering inequalities for binary output (2014) (8)
Bell measurement ruling out supraquantum correlations (2018) (8)
Quantum information isomorphism: Beyond the dilemma of the Scylla of ontology and the Charybdis of instrumentalism (2004) (8)
Multiport based teleportation - transmission of a large amount of quantum information (2020) (8)
Do black holes create polyamory? (2015) (8)
Bounds on localizable information via semidefinite programming (2004) (8)
The Resource Theoretic Paradigm of Quantum Thermodynamics with Control (2019) (7)
Bypassing the Intermediate Times Dilemma for Open Quantum System (2021) (7)
Commutant structuture of Ux...xUxU* transformations (2013) (7)
Jaynes principle versus entanglement (1997) (7)
Efficient multi-port teleportation schemes (2020) (7)
Bound entangled states with extremal properties (2013) (7)
Measurement uncertainty from no-signaling and nonlocality (2017) (6)
Saturation and recurrence of quantum complexity in random quantum circuits (2022) (6)
Operator space approach to steering inequality (2014) (6)
Are quantum correlations symmetric? (2005) (5)
Quantum mutual independence (2009) (5)
Exponential Decay of Correlations Implies Area Law (2014) (5)
Creation of superposition of unknown quantum states (2015) (5)
Toward optimal compression for mixed signal states (1999) (5)
Fluctuation-dissipation relations for thermodynamic distillation processes. (2021) (4)
On quantum non-signalling boxes (2005) (4)
Thermal Operations in general are not memoryless. (2020) (4)
Nonsignaling quantum random access-code boxes (2014) (4)
Explicit constructions of unitary transformations between equivalent irreducible representations (2014) (4)
Generic randomness amplification schemes using Hardy paradoxes. (2018) (4)
Conditional Entanglement (2007) (4)
Distillation of entanglement by projection on permutationally invariant subspaces (2011) (4)
Correlations constrained by composite measurements (2020) (3)
Operational foundations for complementarity and uncertainty relations (2018) (3)
Unifying classical and quantum key distillation; 4th Theory of Cryptography Conference (TCC 2007); Lecture notes in computer science; Theory of cryptography : proceedings (2007) (3)
Entanglement-swapping boxes and their communication properties (2007) (3)
Long distance quantum communication over noisy networks without quantum memory (2012) (3)
Optimal strategy of quantum computing and trade-off between opposite types of decoherence (2003) (3)
Extraction of ergotropy: free energy bound and application to open cycle engines (2022) (3)
Compression of Quantum Information (2001) (3)
Information Content of Elementary Systems as a Physical Principle (2014) (2)
Low-dimensional quite noisy bound entanglement with a cryptographic key (2010) (2)
Bell and steering scenarios in terms of operator systems (2014) (2)
Optimal compression of quantum information for one-qubit source at incomplete data: a new aspect of Jaynes principle (1998) (2)
On equivalence between Popescu-Rohrlich boxes and random access codes (2014) (2)
Multiport based teleportation -- protocol and its performance (2020) (2)
Zero knowledge convincing protocol on quantum bit is impossible (2000) (2)
QUANTUM STUDIES OF ALIGNMENT EFFECTS IN THE BA(6S6P, 3P2 1P1) INELASTIC TRANSITION INDUCED BY HELIUM (1999) (2)
Random and free observables saturate the Tsirelson bound for CHSH inequality (2015) (2)
Erratum: Asymptotic Manipulations of Entanglement Can Exhibit Genuine Irreversibility [Phys. Rev. Le (2001) (2)
Properties of quantum nonsignaling boxes (13 pages) (2006) (2)
Constraints on many-to-one multipartite dense coding (2007) (2)
Bound on Bell inequalities by fraction of determinism and reverse triangle inequality (2015) (2)
Information gain and approximate reversibility of quantum measurements: an entropic approach (2007) (2)
Quantum information isomorphism: beyond the dillemma of Scylla of ontology and Charybdis of instrumentalism (2003) (2)
Randomness amplification using independent devices arbitrarily correlated with the Santha-Vasirani source [ 1 ] (2017) (1)
Correction for Buhrman et al., Quantum communication complexity advantage implies violation of a Bell inequality (2016) (1)
Generalized Measurements and Local Realism (1996) (1)
Construction and properties of a class of private states in arbitrary dimensions (2014) (1)
On some entropic entanglement parameter (2006) (1)
Absolute nonlocality via distributed computing without communication (2014) (1)
Structure and properties of the algebra of partially transposed operators (2013) (1)
Entanglement distillation by means of k-extendible maps (2011) (1)
The asymptotic emergence of the Second Law for a repeated charging process (2022) (1)
A pr 2 01 3 Exponential Quantum Speed-ups are Generic (2013) (1)
Publisher’s Note: Generalized Teleportation and Entanglement Recycling [Phys. Rev. Lett.110, 010505 (2013)] (2013) (1)
Note on genuine multipartite classical correlations (2008) (1)
Towards reconciliation of completely positive open system dynamics with the equilibration postulate (2022) (1)
Universal scheme for violation of local realism from quantum advantage in one-way communication complexity (2013) (1)
Is there a basic law of quantum information processing (1997) (1)
The Universal Composable Securityof Quantum Key Distribution (2005) (1)
O ct 2 01 4 Quantum advantage for distributed computing without communication (2014) (1)
Ewangelia według świętego Mateusza jako Nowy Heksateuch w literaturze biblijnej (2006) (1)
Optimal universal quantum circuits for unitary complex conjugation (2022) (1)
Measures of contextuality (2012) (0)
On the rates of asymptotic bipartite entanglement transformations for mixed states (2002) (0)
Quantum Key Distribution: A Resource Letter (2016) (0)
Positive maps and limits for a class of protocols of entanglement distillation (1997) (0)
Foreword (2008) (0)
07 02 00 5 v 1 1 F eb 2 00 7 A decoupling approach to the quantum capacity (2007) (0)
05 06 17 4 v 1 21 J un 2 00 5 Quantumness of ensemble from no-broadcasting principle (2005) (0)
Ja n 20 03 Are there phase transitions in information space ? (2008) (0)
Spin–oscillatory coupling effect in parabolic magnetic field (2000) (0)
Entanglement recycling and generalized teleportation (2012) (0)
On the problem of detection of genuine multipartite correlations (2008) (0)
07 01 14 9 v 2 4 F eb 2 00 7 Conditional Entanglement (2007) (0)
No-signaling versus quantum constraints for spatio-temporal correlations caused by weak measurement (2016) (0)
Extremal jumps of circuit complexity of unitary evolutions generated by random Hamiltonians (2023) (0)
Phase-like transitions in low-number quantum dots Bayesian magnetometry (2016) (0)
Simple scheme for encoding a qubit in unknown state into various topological codes (2014) (0)
Sharp transitions in low-number quantum dots Bayesian magnetometry (2016) (0)
03 10 10 0 v 1 1 5 O ct 2 00 3 Quantification of quantum correlation of ensemble of states (2022) (0)
Do black holes create polyamory? (2018) (0)
Compressing compound states (2003) (0)
A 97 , 042130 ( 2018 ) Conditional uncertainty principle (2018) (0)
Generalized XOR non-locality games with graph description on a square lattice (2019) (0)
An approximation scheme and non-Hermitian re-normalization for description of atom-field system evolution (2022) (0)
38 34 v 2 [ qu an tph ] 2 5 O ct 2 01 4 Fundamental limitations for quantum and nanoscale thermodynamics (2019) (0)
The Josephson junction as a quantum engine (2023) (0)
Entanglement-redistribution boxes (2008) (0)
Erratum: Asymptotic Manipulations of Entanglement Can Exhibit Genuine Irreversibility (2001) (0)
Quantum key distribution based on arbitrary private states (2006) (0)
Quantifying Non-locality through Heat Engines and Distributed Negentropy (2001) (0)
Thermodynamics as a Resource Theory : Supplementary Material (2013) (0)
RANDOMNESS AMPLIFICATION WITHOUT MARKOV CONDITION (2014) (0)
On region for fidelities of 1 − 3 universal quantum cloner (2012) (0)
Port-based teleportation in arbitrary dimension (2017) (0)
Contextuality offers security (2010) (0)
07 03 09 5 v 1 1 3 M ar 2 00 7 Entanglement-swapping boxes and their communication properties (2007) (0)
Towards experimentally-friendly single shot thermodynamic operations (2014) (0)
Irreducible private states (Conference Presentation) (2017) (0)
Saturation of the Tsirelson bound for the Clauser-Horne-Shimony-Holt inequality with random and free observables (2017) (0)
MR spectroscopy with parabolic magnetic field: spin-oscillator coupling effect (1999) (0)
INFORMATION EXTRACTION VERSUS IRREVERSIBILITY IN QUANTUM MEASUREMENT PROCESSES (2008) (0)
Construction and properties of a novel class of private states in arbitrary dimensions (2014) (0)
XOR games with no quantum advantage and the Shannon zero-error channel capacity (2014) (0)
XOR games with no quantum advantage and the Shannon zero-error channel capacity (2014) (0)
Autonomous Quantum Devices: When Are They Realizable without Additional Thermodynamic Costs? (2019) (0)
Ja n 20 08 Quantum coding theorem from privacy and distinguishability (0)
Cloning of orthogonal mixed states entails irreversibility (2003) (0)

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