Quantum Computational Neuroscience: The Claims
What quantum computational neuroscience proposes: quantum models of brain activity, quantum sensors and simulations, and the scientific criticism.
What quantum computational neuroscience proposes: quantum models of brain activity, quantum sensors and simulations, and the scientific criticism.
How quantum algorithms might be applied to machine vision tasks such as object recognition and image classification, and the current limits.
Quantum control systems steer fragile quantum states with shaped pulses and feedback. Techniques, algorithms and applications in computing.
Discrete and continuous quantum random walks compared with classical walks, and their uses in algorithms, cryptography and models of biology.
Probabilistic polynomial time in the quantum setting: how BQP and PP are defined, how error probability is bounded, and how they relate to P and NP.
Quantum information complexity studies how much information protocols must reveal or exchange. Its links to communication, cryptography and storage.
The quantum PCP conjecture asks whether quantum proofs can be checked by reading only a few qubits. Its forms, known results and open questions.
QIP is the class of problems with quantum interactive proofs. Its definition, protocols and the 2010 result that QIP equals PSPACE.
Quantum communication complexity asks how many qubits parties must exchange to compute a function. Protocols, complexity classes and applications.
Quantum Bayesian networks extend Bayesian inference to quantum probabilities. How they are built and compared with classical networks, and their uses.
Quantum Gibbs sampling prepares thermal states of quantum systems. How it differs from classical sampling and its uses in simulation and machine learning.
How quantum methods might speed up interpolation of multivariate polynomials, the circuits involved and possible uses in cryptography and machine learning.