Results 21 to 30 of about 858,459 (235)
Quantum minimal surfaces from quantum error correction
We show that complementary state-specific reconstruction of logical (bulk) operators is equivalent to the existence of a quantum minimal surface prescription for physical (boundary) entropies.
Chris Akers, Geoff Penington
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Good Gottesman-Kitaev-Preskill codes from the NTRU cryptosystem [PDF]
We introduce a new class of random Gottesman-Kitaev-Preskill (GKP) codes derived from the cryptanalysis of the so-called NTRU cryptosystem. The derived codes are $good$ in that they exhibit constant rate and average distance scaling $\Delta \propto \sqrt{
Jonathan Conrad +2 more
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Modified Nested Barker Codes for Ultra-Wideband Signal–Code Constructions
Currently, various applications of ultra-wideband signal–code constructions are among the most vibrant technologies, being implemented in very different fields. The purpose of this research consists of analyzing Barker codes and searching for the optimal
Vadim A. Nenashev +4 more
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Twisted Reed-Solomon Codes [PDF]
We present a new general construction of MDS codes over a finite field $\mathbb{F}_q$. We describe two explicit subclasses which contain new MDS codes of length at least $q/2$ for all values of $q \ge 11$. Moreover, we show that most of the new codes are
Beelen, Peter +2 more
core +2 more sources
On bounded linear codes and the commutative equivalence
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carpi A., D'Alessandro F.
openaire +4 more sources
THE CONVOLUTIONAL CODESАNALYSIS TECHNIQUE ON THE OPTIMUM BLOCK CODES GROUNDS
The convolutional codes analysis and synthesis technique is proposed. This technique is optimal according to near Shannon's bound criterion and guarantees a given bit error rate from message source.
Leonid Uryvskyi +2 more
doaj +1 more source
Quasi-cyclic subcodes of cyclic codes [PDF]
We completely characterize possible indices of quasi-cyclic subcodes in a cyclic code for a very broad class of cyclic codes. We present enumeration results for quasi-cyclic subcodes of a fixed index and show that the problem of enumeration is equivalent
Belfiore, Jean-Claude +2 more
core +3 more sources
Although base isolation is nowadays a well-established seismic-protection technique for both buildings and bridges, and several issues are still open and attract the interest of the research community.
Adamo Zinco +3 more
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Catalytic quantum error correction [PDF]
We develop the theory of entanglement-assisted quantum error correcting (EAQEC) codes, a generalization of the stabilizer formalism to the setting in which the sender and receiver have access to pre-shared entanglement.
Brun, Todd +2 more
core +2 more sources
Avoiding coherent errors with rotated concatenated stabilizer codes
Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors.
Yingkai Ouyang
doaj +1 more source

