Topic
Coherent information
About: Coherent information is a research topic. Over the lifetime, 1225 publications have been published within this topic receiving 46672 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: A recent method to detect lower bounds to the quantum capacity of quantum communication channels is extended by considering realistic scenarios with general input probe states and arbitrary detection procedures at the output.
Abstract: We extend a recent method to detect lower bounds to the quantum capacity of quantum communication channels by considering realistic scenarios with general input probe states and arbitrary detection procedures at the output. Realistic certification relies on a new bound for the coherent information of a quantum channel that can be applied with arbitrary bipartite mixed input states and generalized output measurements.
5 citations
TL;DR: Lower bounds on the information available to a receiver who has no knowledge of which MUB was chosen by the sender imply a complementarity of information encoded viadifferent MUBs and ultimately ensure the security in quantum key distribution protocols.
Abstract: We discuss quantitatively the complementarity of information transmitted by a quantum system prepared in a basis state in one out of several different mutually unbiased bases (MUBs). We obtain upper bounds on the information available to a receiver who has no knowledge of which MUB was chosen by the sender. These upper bounds imply a complementarity of information encoded via different MUBs and ultimately ensure the security in quantum key distribution protocols.
5 citations
Posted Content•
11 Aug 2010
TL;DR: In this article, a tensor norm over Banach spaces and its relation to quantum information theory was studied, in particular for two-prover games with arbitrary output alphabet sizes.
Abstract: We study tensor norms over Banach spaces and their relations to quantum information theory, in particular their connection with two-prover games We consider a version of the Hilbertian tensor norm $\gamma_2$ and its dual $\gamma_2^*$ that allow us to consider games with arbitrary output alphabet sizes We establish direct-product theorems and prove a generalized Grothendieck inequality for these tensor norms Furthermore, we investigate the connection between the Hilbertian tensor norm and the set of quantum probability distributions, and show two applications to quantum information theory: firstly, we give an alternative proof of the perfect parallel repetition theorem for entangled XOR games; and secondly, we prove a new upper bound on the ratio between the entangled and the classical value of two-prover games
5 citations
TL;DR: A quantum information splitting scheme of a two-qubit state by using two Greenberger–Horne–Zeilinger (GHZ) states as quantum channels and the success probability and classical communication cost are presented.
Abstract: We present a quantum information splitting scheme of a two-qubit state by using two Greenberger–Horne–Zeilinger (GHZ) states as quantum channels. In this scheme, since the sender Alice knows the quantum information in priori, she only needs to perform a two-qubit measurement and publish two classical bits for her two agents Bob and Charlie to reconstruct the quantum information via their mutual assistance. We calculate the success probability and classical communication cost within the scheme. In the general case, Alice can successfully split the state with probability 25% (probabilistic) and the classical communication cost is 4 classical bits. However, in some special cases, the secret states are chosen from a special ensemble, the success probability of our scheme can be increased to 50% or even to 100% (deterministic) after consuming some extra classical bits.
5 citations
TL;DR: In this paper, the notions of qubit and density operators are described in the framework of coherent states, and a qubit is expressed as a coherent state, and thus a sequence of qubits becomes the tensor product of the coherent states.
Abstract: In the quantum information theory operates with qubits and N-qubits that can be express through coherent states. Density operator admits a representation in terms of coherent states formalism. Consequently, in this paper the notions of qubit and density operators are described in the framework of coherent states. We have expressed a qubit as a coherent state, and thus a sequence of qubits becomes the tensor product of the coherent states. For the ensembles of qubits, it could be used the density operator, in order to describe the informational content of the ensemble. The coherent states representation may play an important role in the quantum information theory and the use of this formalism is not only theoretical, but also, due to its applications, of some practical relevance.
5 citations