Quantum convolutional coding with shared entanglement: general structure [PDF]
We present a general theory of entanglement-assisted quantum convolutional coding. The codes have a convolutional or memory structure, they assume that the sender and receiver share noiseless entanglement prior to quantum communication, and they are not ...
M. Wilde, T. Brun
semanticscholar +4 more sources
Entanglement-assisted quantum MDS codes from generalized Reed–Solomon codes [PDF]
In this paper, we produce some new classes of entanglement-assisted quantum MDS codes(EAQMDS codes for short) via generalized Reed-Solomon codes over finite fields of odd characteristic. Among our constructions, there are many EAQMDS codes with new lengths which have never been reported.
Renjie Jin, Yiran Cao, Jinquan Luo
openaire +5 more sources
Single-Shot Secure Quantum Network Coding for General Multiple Unicast Network With Free One-Way Public Communication [PDF]
It is natural in a quantum network system that multiple users intend to send their quantum message to their respective receivers, which is called a multiple unicast quantum network.
G. Kato, M. Owari, Masahito Hayashi
semanticscholar +1 more source
Network Coding-Based Post-Quantum Cryptography [PDF]
We propose a novel hybrid universal network-coding cryptosystem (HUNCC) to obtain secure post-quantum cryptography at high communication rates. The secure network-coding scheme we offer is hybrid in the sense that it combines information-theoretic ...
Alejandro Cohen +3 more
semanticscholar +1 more source
Topological Defects in General Quantum LDPC Codes [PDF]
We consider the structure of defects carrying quantum information in general quantum low-density parity-check (LDPC) codes. These generalize the corresponding constructions for topological quantum codes, without the need for locality. Relation of such defects to (generalized) topological entanglement entropy is also discussed.
Lim, Pak Kau +2 more
openaire +2 more sources
Generalized concatenated quantum codes [PDF]
We introduce the concept of generalized concatenated quantum codes. This generalized concatenation method provides a systematical way for constructing good quantum codes, both stabilizer codes and nonadditive codes. Using this method, we construct families of new single-error-correcting nonadditive quantum codes, in both binary and nonbinary cases ...
Grassl, Markus +4 more
openaire +3 more sources
Decoupling by Local Random Unitaries without Simultaneous Smoothing, and Applications to Multi-user Quantum Information Tasks [PDF]
We show that a simple telescoping sum trick, together with the triangle inequality and a tensorisation property of expected-contractive coefficients of random channels, allow us to achieve general simultaneous decoupling for multiple users via local ...
Pau Colomer, A. Winter
semanticscholar +1 more source
Generalized concatenation for quantum codes [PDF]
We show how good quantum error-correcting codes can be constructed using generalized concatenation. The inner codes are quantum codes, the outer codes can be linear or nonlinear classical codes. Many new good codes are found, including both stabilizer codes as well as so-called nonadditive codes.
Grassl, Markus +2 more
openaire +3 more sources
Quantum-Classical Hybrid Systems and their Quasifree Transformations [PDF]
We study continuous variable systems, in which quantum and classical degrees of freedom are combined and treated on the same footing. Thus all systems, including the inputs or outputs to a channel, may be quantum-classical hybrids.
Lars Dammeier, Reinhard F. Werner
doaj +1 more source
Lower Bounds on Error Exponents via a New Quantum Decoder [PDF]
We introduce a new quantum decoder based on a variant of the pretty good measurement, but defined via an alternative matrix quotient. We then use this novel decoder to derive new lower bounds on the error exponent both in the one-shot and asymptotic ...
Salman Beigi, Marco Tomamichel
semanticscholar +1 more source

