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Home » Basic and Health Sciences » Physics » Quantum Information Science » Quantum Information Science I, Part 3 » The role of density matrices in the phase estimation algorithm

The role of density matrices in the phase estimation algorithm

Course:Quantum Information Science I, Part 3
Discipline:Basic and Health Sciences
Institute:MIT
Instructor(s): Prof. Isaac Chuang, Prof. Peter Shor
Level:Undergraduate

Quantum Information Science I, Part 3

A model of distributed quantum computation
A modified distributed Simon's problem with potential for quantum communication speedup
A story of QKD implementations: BB84 vs entanglement-based QKD
Action of unitary transform on density matrices
BB84 QKD: assumptions and real-world issues
Effect of depolarizing channel on the quantum code
BB84 QKD: classical post-processing for noise and privacy amplification
Effect of measurement on an ensemble of states
Bloch sphere representation of single qubit density matrix states
Effect of single qubit rotation errors on the quantum code
Classical communication complexity – distributed partial and total functions
Equivalence of density matrices to partial trace computed in different bases
Classical communication complexity for the distributed Deutsch-Jozsa problem
Failure of Simon's quantum algorithm to give exponential speedup over classical
Classical fingerprinting with pre-shared randomness
General Hamming classical error correction codes
Classical fingerprinting with UN-shared randomness
Hamming's classical error correction code and linear codes
Classical linear code error syndromes
Indistinguishability of density matrix ensemble unravelings

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