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- Renato Renner, Robert König
- TCC
- 2005

Privacy amplification is the art of shrinking a partially secret string Z to a highly secret key S. We show that, even if an adversary holds quantum information about the initial string Z, the key S… (More)

- Robert König, Renato Renner, Christian Schaffner
- IEEE Transactions on Information Theory
- 2009

In this paper, we show that the conditional min-entropy <i>H</i> <sub>min</sub>(<i>A</i> |<i>B</i>) of a bipartite state <i>rhoAB</i> is directly related to the maximum achievable overlap with a… (More)

- Robert König, Stephanie Wehner
- Physical review letters
- 2009

A fully general strong converse for channel coding states that when the rate of sending classical information exceeds the capacity of a quantum channel, the probability of correctly decoding goes to… (More)

- Robert König, Renato Renner, Andor Bariska, Ueli Maurer
- Physical review letters
- 2007

The security of quantum key distribution is typically defined in terms of the mutual information between the distributed key S and the outcome of an optimal measurement applied to the adversary's… (More)

- Robert König, Renato Renner
- IEEE Transactions on Information Theory
- 2011

Let <i>X</i><sub>1</sub>,..., <i>Xn</i> be a sequence of <i>n</i> classical random variables and consider a sample <i>Xs</i><sub>1</sub>,..., <i>Xsr</i> of <i>r</i> ≤ <i>n</i> positions selected at… (More)

- Matthias Christandl, Robert König, Renato Renner
- Physical review letters
- 2009

We propose a general method for studying properties of quantum channels acting on an n-partite system, whose action is invariant under permutations of the subsystems. Our main result is that, in… (More)

- Robert König, Ueli Maurer, Renato Renner
- IEEE Transactions on Information Theory
- 2005

We address the question whether quantum memory is more powerful than classical memory. In particular, we consider a setting where information about a random n-bit string X is stored in s classical or… (More)

- Salman Beigi, Robert König
- 2011

Instantaneous measurements of non-local observables between space-like separated regions can be performed without violating causality. This feat relies on the use of entanglement. Here we propose… (More)

- Sergey Bravyi, David Gosset, Robert König
- ArXiv
- 2017

We prove that constant-depth quantum circuits are more powerful than their classical counterparts. To this end we introduce a non-oracular version of the BernsteinVazirani problem which we call the… (More)

We consider the problem of converting a product state to a ground state of a topologically ordered system through a locally generated open-system dynamic. Employing quantum-information tools, we show… (More)