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05/05/2023
On Belief Propagation Decoding of Quantum Codes with Quaternary Reliability Statistics
In this paper, we investigate the use of quaternary reliability statisti...
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10/14/2022
On the size of maximal binary codes with 2, 3, and 4 distances
We address the maximum size of binary codes and binary constant weight c...
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06/27/2022
Semidefinite programming bounds for few-distance sets in the Hamming and Johnson spaces
We study the maximum cardinality problem of a set of few distances in th...
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03/13/2022
Semidefinite programming bounds for binary codes from a split Terwilliger algebra
We study the upper bounds for A(n,d), the maximum size of codewords with...
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08/10/2021
Linear programming bounds for quantum channels acting on quantum error-correcting codes
While quantum weight enumerators establish some of the best upper bounds...
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06/23/2021
Learning quantum circuits of some T gates
In this paper, we study the problem of learning quantum circuits of a ce...
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04/28/2021
Exploiting Degeneracy in Belief Propagation Decoding of Quantum Codes
Quantum information needs to be protected by quantum error-correcting co...
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04/01/2021
Log-domain decoding of quantum LDPC codes over binary finite fields
A stabilizer code over GF(q=2^l) corresponds to a classical additive cod...
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02/14/2021
Refined Belief-Propagation Decoding of Quantum Codes with Scalar Messages
Codes based on sparse matrices have good performance and can be efficien...
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02/03/2021
Decoding of Quantum Data-Syndrome Codes via Belief Propagation
Quantum error correction is necessary to protect logical quantum states ...
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02/16/2020
Refined Belief Propagation Decoding of Sparse-Graph Quantum Codes
Quantum stabilizer codes constructed from sparse matrices have good perf...
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01/12/2020
Linear programming bounds for quantum amplitude damping codes
Given that approximate quantum error-correcting (AQEC) codes have a pote...
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09/23/2019
On the Need for Large Quantum Depth
Near-term quantum computers are likely to have small depths due to short...
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07/02/2019
Quantum Data-Syndrome Codes
Performing active quantum error correction to protect fragile quantum st...
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03/26/2019
Protocols for Packet Quantum Network Intercommunication
A quantum network, which involves multiple parties pinging each other wi...
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01/11/2018