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Quantum Information and Foundations
Giacomo Mauro D’Ariano and Paolo Perinotti
2020
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Quantum information has dramatically changed information science and technology, looking at the quantum nature of the information carrier as a resource for building new information protocols, designing radically new communication and computation algorithms, and ultra-sensitive measurements in metrology, with a wealth of applications. From a fundamental perspective, this new discipline has led us to regard quantum theory itself as a special theory of information, and has opened routes for exploring solutions to the tension with general relativity, based, for example, on the holographic principle, on non-causal variations of the theory, or else on the powerful algorithm of the quantum cellular automaton, which has revealed new routes for exploring quantum fields theory, both as a new microscopic mechanism on the fundamental side, and as a tool for efficient physical quantum simulations for practical purposes. In this golden age of foundations, an astonishing number of new ideas, frameworks, and results, spawned by the quantum information theory experience, have revolutionized the way we think about the subject, with a new research community emerging worldwide, including scientists from computer science and mathematics.
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Keywords
- adiabatic quantum computing
- Agent
- algebraic quantum theory
- binary optimization
- blind source separation (BSS)
- Bohrification
- braid group
- C*-algebra
- causal sets
- causality
- characterization of unitary group and state spaces
- classical context
- classical limit
- Clifford algebra
- cluster states
- collapse models
- commuting subalgebras
- complementarity
- complexity classes
- conjugate systems
- conservation of information
- conserved informational charges
- consistent histories
- continuous-variable systems
- Dirac equation
- discrete spacetime
- entangled pure state
- entanglement
- entropic gravity
- Entropy
- Euclidean Jordan algebras
- exchange coupling
- Fermion
- Gaussian states
- Gaussian unitary operations
- gelfand duality
- generalised probabilistic theories
- group representations
- Hadamard matrix
- hard problems
- higher-order interference
- Hubbard model
- incompatible frameworks
- independence of random quantum sources
- inference
- interpretations of quantum mechanics
- iterant
- Jordan algebras
- limited information
- macroscopic quantum measurement
- Mathematics & science
- matrix algebra
- measurement uncertainty relations
- momentum
- monogamy
- multipartite entanglement
- no-go theorem
- path summation
- Pauli exclusion principle
- percolation
- physical computing models
- Position
- probabilities in quantum measurements
- probability theory
- process theory
- Purification
- purity
- quantum annealing
- quantum computation
- quantum control
- quantum correlations
- quantum estimation
- quantum foundations
- quantum genetic algorithm
- quantum gravity
- quantum information
- quantum measurement
- quantum measurements
- quantum mechanics
- quantum non-locality
- quantum relative entropy
- quantum theory and gravity
- quantum walks
- qubit pair
- reconstruction of quantum mechanics
- reconstruction of quantum theory
- relative entropy
- relativity
- sampling-based learning control (SLC)
- semiclassical physics
- Shannon information
- silicon drift detector
- single framework rule
- subsystem
- the measurement problem
- Thirring model
- underground experiment
- unentanglement criterion
- Wigner-friend experiment
- X-ray spectroscopy
- X-rays
Links
DOI: 10.3390/books978-3-03928-381-1Editions
