Fetching the paper…
Reading the bibliography…
We prove that the entanglement cost equals the regularized entanglement of formation for any infinite-dimensional quantum state $\rho_{AB}$ with finite quantum entropy on at least one of the subsystems $A$ or $B$.
Entanglement theory in distributed quantum information processing
H. Yamasaki · 1903
Earlier work this paper cites.
Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten
M. Fekete · 1923
Earlier work this paper cites.
Discussion of probability relations between separated systems
E. Schrödinger · 1935
Earlier work this paper cites.
Proof of the strong subadditivity of quantum-mechanical entropy
Elliott H. Lieb and Mary Beth Ruskai · 1973
Earlier work this paper cites.
General properties of entropy
A. Wehrl · 1978
Earlier work this paper cites.
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
R. F. Werner · 1989
Earlier work this paper cites.
Quantum cryptography based on Bell’s theorem
A. K. Ekert · 1991
Earlier work this paper cites.
Functional Analysis
W. Rudin · 1991
Earlier work this paper cites.
Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states
C. H. Bennett and S. J. Wiesner · 1992
Earlier work this paper cites.
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters · 1993
Earlier work this paper cites.
Concentrating partial entanglement by local operations
C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher · 1996
Earlier work this paper cites.
Purification of noisy entanglement and faithful teleportation via noisy channels
C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters · 1996
Earlier work this paper cites.
Mixed-state entanglement and quantum error correction
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters · 1996
Earlier work this paper cites.
Entanglement purification via separable superoperators
E. M. Rains · 1997
Earlier work this paper cites.
Quantum circuits with mixed states
D. Aharonov, A. Kitaev, and N. Nisan · 1998
Earlier work this paper cites.
Entanglement measures and purification procedures
V. Vedral and M. B. Plenio · 1998
Earlier work this paper cites.
Entropy and optimal decompositions of states relative to a maximal commutative subalgebra
A. Uhlmann · 1998
Earlier work this paper cites.
Minimal conditions for local pure-state entanglement manipulation
D. Jonathan and M. B. Plenio · 1999
Earlier work this paper cites.
Continuity bounds for entanglement
M. A. Nielsen · 2000
Earlier work this paper cites.
Erratum: Minimal conditions for local pure-state entanglement manipulation
D. Jonathan and M. B. Plenio · 2000
Earlier work this paper cites.
Entanglement monotones
G. Vidal · 2000
Earlier work this paper cites.
A course in operator theory
John B Conway · 2000
Earlier work this paper cites.
Irreversibility in asymptotic manipulations of entanglement
G. Vidal and J. I. Cirac · 2001
Earlier work this paper cites.
The asymptotic entanglement cost of preparing a quantum state
P. M. Hayden, M. Horodecki, and B. M. Terhal · 2001
Earlier work this paper cites.
Evaluating capacities of bosonic Gaussian channels
A. S. Holevo and R. F. Werner · 2001
Earlier work this paper cites.
On entanglement of formation
A. W. Majewski · 2001
Earlier work this paper cites.
The uniqueness theorem for entanglement measures
M. J. Donald, M. Horodecki, and O. Rudolph · 2002
Earlier work this paper cites.
Equivalence of additivity questions in quantum information theory
P. W. Shor · 2004
Earlier work this paper cites.
Entanglement convertibility for infinite-dimensional pure bipartite states
M. Owari, K. Matsumoto, and M. Murao · 2004
Earlier work this paper cites.
Security of quantum key distribution
R. Renner · 2005
Earlier work this paper cites.
Irreversibility for all bound entangled states
D. Yang, M. Horodecki, R. Horodecki, and B. Synak-Radtke · 2005
Earlier work this paper cites.
On the notion of entanglement in Hilbert spaces
R. F. Werner, A. S. Holevo, and M. E. Shirokov · 2005
Cited alongside, same era.
On entropic quantities related to the classical capacity of infinite dimensional quantum channels
M. E. Shirokov · 2005
Cited alongside, same era.
Elements of Information Theory
T. M. Cover and J. A. Thomas · 2006
Cited alongside, same era.
Entropy characteristics of subsets of states. I
M. E. Shirokov · 2006
Cited alongside, same era.
Quantum capacities of bosonic channels
M. M. Wolf, D. Pérez-García, and G. Giedke · 2007
Cited alongside, same era.
Separable operations on pure states
V. Gheorghiu and R. B. Griffiths · 2008
Cited alongside, same era.
Quantum Information Theory
M. M. Wilde · 2017
Later among the works it cites.
An infinite dimensional Birhkoff’s theorem, a majorization relation for two density matrices and LOCC-convertibility
D. Asakura · 2017
Later among the works it cites.
Graph-associated entanglement cost of a multipartite state in exact and finite-block-length approximate constructions
H. Yamasaki, A. Soeda, and M. Murao · 2017
Later among the works it cites.
Narrow bounds for the quantum capacity of thermal attenuators
M. Rosati, A. Mari, and V. Giovannetti · 2018
Later among the works it cites.
Entanglement cost and quantum channel simulation
M. M. Wilde · 2018
Later among the works it cites.
Entanglement Measures and Their Properties in Quantum Field Theory
S. Hollands and K. Sanders · 2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. E. Shirokov · 2008
Cited alongside, same era.
Information Theory and Network Coding
R. W. Yeung · 2008
Cited alongside, same era.
ε \varepsilon -convertibility of entangled states and extension of Schmidt rank in infinite-dimensional systems
M. Owari, S. L. Braunstein, K. Nemoto, and M. Murao · 2008
Cited alongside, same era.
Direct and reverse secret-key capacities of a quantum channel
S. Pirandola, R. García-Patrón, S. L. Braunstein, and S. Lloyd · 2009
Cited alongside, same era.
Superadditivity of communication capacity using entangled inputs
M. B. Hastings · 2009
Cited alongside, same era.
On properties of the space of quantum states and their application to the construction of entanglement monotones
M. E. Shirokov · 2010
Cited alongside, same era.
On the energy-constrained diamond norm and its application in quantum information theory
M. E. Shirokov · 2018
Later among the works it cites.
Advances in quantum cryptography
S. Pirandola, U. L. Andersen, L. Banchi, M. Berta, D. Bunandar, R. Colbeck, D. Englund, T. Gehring, C. Lupo, C. Ottaviani, J. L. Pereira, M. Razavi, J. Shamsul Shaari, M. Tomamichel, V. C. Usenko, G. Vallone, P. Villoresi, and P. Wallden · 2020
Later among the works it cites.
Enhanced energy-constrained quantum communication over bosonic Gaussian channels
K. Noh, S. Pirandola, and L. Jiang · 2020
Later among the works it cites.
Optimal uniform continuity bound for conditional entropy of classical–quantum states
M. M. Wilde · 2020
Later among the works it cites.
General quantum resource theories: Distillation, formation and consistent resource measures
K. Kuroiwa and H. Yamasaki · 2020
Later among the works it cites.
Limits and security of free-space quantum communications
S. Pirandola · 2021
Later among the works it cites.
Estimating quantum and private capacities of gaussian channels via degradable extensions
M. Fanizza, F. Kianvash, and V. Giovannetti · 2021
Later among the works it cites.
Asymptotically consistent measures of general quantum resources: Discord, non-Markovianity, and non-gaussianity
K. Kuroiwa and H. Yamasaki · 2021
Later among the works it cites.
Operational quantification of continuous-variable quantum resources
B. Regula, L. Lami, R. Takagi, and G. Ferrari · 2021
Later among the works it cites.
Framework for resource quantification in infinite-dimensional general probabilistic theories
L. Lami, B. Regula, R. Takagi, and G. Ferrari · 2021
Later among the works it cites.
The power of noisy quantum states and the advantage of resource dilution
M. Miller, M. Scalici, and A. Streltsov · 2022
Later among the works it cites.
No second law of entanglement manipulation after all
L. Lami and B. Regula · 2023
Later among the works it cites.
Computable lower bounds on the entanglement cost of quantum channels
L. Lami and B. Regula · 2023
Later among the works it cites.
Reversibility of quantum resources through probabilistic protocols
B. Regula and L. Lami · 2023
Later among the works it cites.
Maximum tolerable excess noise in CV-QKD and improved lower bound on two-way capacities
F. A. Mele, L. Lami, and V. Giovannetti · 2023
Later among the works it cites.
Low-ground/high ground capacity regions analysis for bosonic Gaussian channels
F. Kianvash, M. Fanizza, and V. Giovannetti · 2023
Later among the works it cites.
Exact solution for the quantum and private capacities of bosonic dephasing channels
L. Lami and M. M. Wilde · 2023
Later among the works it cites.
Asymptotic state transformations of continuous variable resources
G. Ferrari, L. Lami, T. Theurer, and M. B. Plenio · 2023
Later among the works it cites.
Close-to-optimal continuity bound for the von Neumann entropy and other quasi-classical applications of the Alicki-Fannes-Winter technique
M. E. Shirokov · 2023
Later among the works it cites.
Quantifying continuity of characteristics of composite quantum systems
M. E. Shirokov · 2023
Later among the works it cites.
Integral formula for quantum relative entropy implies data processing inequality
P. E. Frenkel · 2023
Later among the works it cites.
Recoverability of quantum channels via hypothesis testing
A. Jenčová · 2023
Later among the works it cites.
Quantum Rényi and f f -divergences from integral representations
C. Hirche and M. Tomamichel · 2023
Later among the works it cites.
Transformations in quantum networks via local operations assisted by finitely many rounds of classical communication
C. Spee and T. Kraft · 2024
Closest in time.