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Discriminating States: the quantum Chernoff bound.
- K. Audenaert, J. Calsamiglia, F. Verstraete
- MathematicsPhysical review letters
- 4 October 2006
TLDR
Evenly distributed unitaries: On the structure of unitary designs
- D. Gross, K. Audenaert, J. Eisert
- Mathematics
- 31 October 2006
We clarify the mathematical structure underlying unitary t-designs. These are sets of unitary matrices, evenly distributed in the sense that the average of any tth order polynomial over the design…
Subadditivity of q-entropies for q>1
- K. Audenaert
- Mathematics
- 9 May 2007
I prove a basic inequality for Schatten q-norms of quantum states on a finite-dimensional bipartite Hilbert space H1⊗H2: 1+∥ρ∥q⩾∥Tr1ρ∥q+∥Tr2ρ∥q. This leads to a proof—in the finite-dimensional…
On Strong Superadditivity of the Entanglement of Formation
- K. Audenaert, S. Braunstein
- Physics
- 10 March 2003
We employ a basic formalism from convex analysis to show a simple relation between the entanglement of formation EF and the conjugate function E* of the entanglement function E(ρ)=S(TrAρ). We then…
A high-resolution sensor based on tri-aural perception
- H. Peremans, K. Audenaert, J. V. Campenhout
- PhysicsIEEE Trans. Robotics Autom.
- 1 February 1993
TLDR
α-z-Rényi relative entropies
- K. Audenaert, N. Datta
- Computer Science
- 18 February 2015
TLDR
Asymptotic Error Rates in Quantum Hypothesis Testing
- K. Audenaert, M. Nussbaum, A. Szkola, F. Verstraete
- MathematicsCommunications in Mathematical Physics
- 31 August 2007
We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for the asymptotic…
Symmetric squares of graphs
- K. Audenaert, C. Godsil, G. Royle, T. Rudolph
- MathematicsJ. Comb. Theory, Ser. B
- 12 July 2005
A sharp continuity estimate for the von Neumann entropy
- K. Audenaert
- Mathematics
- 18 October 2006
We derive an inequality relating the entropy difference between two quantum states to their trace norm distance, sharpening a well-known inequality due to Fannes. In our inequality, equality can be…
Entanglement cost under positive-partial-transpose-preserving operations.
- K. Audenaert, M. Plenio, J. Eisert
- PhysicsPhysical review letters
- 17 January 2003
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