Mike I. Nelson
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View article: Structure theorem for quantum replacer codes
Structure theorem for quantum replacer codes Open
Quantum replacer codes are codes that can be protected from errors induced by a given set of quantum replacer channels, an important class of quantum channels that includes the erasures of subsets of qubits that arise in quantum error corr…
View article: Implementing Quantum Secret Sharing on Current Hardware
Implementing Quantum Secret Sharing on Current Hardware Open
Quantum secret sharing is a cryptographic scheme that enables the secure storage and reconstruction of quantum information. While the theory of secret sharing is mature in its development, relatively few studies have explored the performan…
View article: Implementing Quantum Secret Sharing on Current Hardware
Implementing Quantum Secret Sharing on Current Hardware Open
Quantum secret sharing is a cryptographic scheme that enables a secure storage and reconstruction of quantum information. While the theory of secret sharing is mature in its development, relatively few studies have explored the performance…
View article: Hybrid Quantum Systems: Complementarity of Quantum Privacy and Error-Correction, and Higher Rank Matricial Ranges
Hybrid Quantum Systems: Complementarity of Quantum Privacy and Error-Correction, and Higher Rank Matricial Ranges Open
We establish operator structure identities for quantum channels and their error-correcting and private codes, emphasizing the complementarity relationship between the two perspectives. Relevant structures include correctable and private op…
View article: Higher Rank Matricial Ranges and Hybrid Quantum Error Correction
Higher Rank Matricial Ranges and Hybrid Quantum Error Correction Open
We introduce and initiate the study of a family of higher rank matricial ranges, taking motivation from hybrid classical and quantum error correction coding theory and its operator algebra framework. In particular, for a noisy quantum chan…
View article: Quantum Complementarity and Operator Structures
Quantum Complementarity and Operator Structures Open
We establish operator structure identities for quantum channels and their error-correcting and private codes, emphasizing the complementarity relationship between the two perspectives. Relevant structures include correctable and private op…