Conveners
(DQI) T1-5 Quantum Information Theory I | Théorie de l'information quantique I (DIQ)
- Daria Ahrensmeier
Quantum information processing, at its very core, is effected through unitary transformations applied to states on the Bloch sphere, the standard geometric realization of a two-level, single-qubit system. That said, to a geometer, it may be natural to replace the original Hilbert space of the problem, which is a finite-dimensional vector space, with a finite-rank Hermitian vector bundle,...
The resource theories of separable entanglement, non-positive partial transpose entanglement, magic, and imaginarity share an interesting property: an operation is free if and only if its renormalized Choi matrix is a free state. We refer to resource theories exhibiting this property as Choi-defined resource theories. We demonstrate how and under what conditions one can construct a...
The time-dependent Schrödinger equation in one-dimension has a remarkable class of shape-preserving solutions that are not widely appreciated. Important examples are the 1954 Senitzky coherent states, harmonic oscillator solutions that offset the stationary states by classical harmonic motion. Another solution is the Airy beam, found by Berry and Balazs in 1979. It has accelerating features in...
Finding the ground-state energy of many-body lattice systems is exponentially costly due to the size of the Hilbert space, making exact diagonalization impractical. Ground-state wave functions satisfying the area law of entanglement entropy can be efficiently expressed as a matrix product states (MPS) for local, gapped Hamiltonians. The extension to a bundled matrix product state describes...
