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Examples of minimal-memory, non-catastrophic quantum convolutional encoders
Mark M. Wilde, Monireh Houshmand, Saied Hosseini-Khayat
One of the most important open questions in the theory of quantum convolutional coding is to determine a minimal-memory, non-catastrophic, polynomial-depth convolutional encoder fo…
Dualities and Identities for Entanglement-Assisted Quantum Codes
Ching-Yi Lai, Todd A. Brun, Mark M. Wilde
The dual of an entanglement-assisted quantum error-correcting (EAQEC) code is the code resulting from exchanging the original code's information qubits with its ebits. To introduce…
Entanglement-assisted quantum turbo codes
Mark M. Wilde, Min-Hsiu Hsieh, Zunaira Babar
An unexpected breakdown in the existing theory of quantum serial turbo coding is that a quantum convolutional encoder cannot simultaneously be recursive and non-catastrophic. These…
Perfect state distinguishability and computational speedups with postselected closed timelike curves
Todd A. Brun, Mark M. Wilde
Bennett and Schumacher's postselected quantum teleportation is a model of closed timelike curves (CTCs) that leads to results physically different from Deutsch's model. We show tha…
Public and private resource trade-offs for a quantum channel
Mark M. Wilde, Min-Hsiu Hsieh
Collins and Popescu realized a powerful analogy between several resources in classical and quantum information theory. The Collins-Popescu analogy states that public classical comm…
Leggett-Garg inequalities and the geometry of the cut polytope
David Avis, Patrick Hayden, Mark M. Wilde
The Bell and Leggett-Garg tests offer operational ways to demonstrate that non-classical behavior manifests itself in quantum systems, and experimentalists have implemented these p…