Artificial Orbitals and a Solution to Grover's Problem
Explore this paper's citation graph
Summary
This work examines some recent proposals for quantum computation using time-independent Hamiltonians and shows how to convert them into ``artificial orbitals'' whose energy eigenstates match those of U, which can be used to find eigenvectors and eigenvalues with a single measurement.
- Type
- preprint
- Published
- 2000-10-18
- Cited by
- 2
- References
- 10
- Access
- Open access
- OpenAlex
- https://openalex.org/W57663602
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:116476770
Keywords
Eigenvalues and eigenvectors, Unitary state, Qubit, Hamiltonian (control theory), Observable
References
- Ballistic Single-Electron Quputer
- How fast can a quantum computer search
- Experimental realization of a quantum algorithm
- Analog analogue of a digital quantum computation
- Quantum Mechanics Helps in Searching for a Needle in a Haystack
- Ground State Quantum Computation
- Scaling considerations in ground state quantum computation
- Universal Quantum Simulators
- Universal quantum computation with two-level trapped ions
- QUANTUM COMPUTATION WITH BALLISTIC ELECTRONS
Cited by
Related papers
- CALCULATION OF EXPECTED VALUES OF OBSERVABLES IN SOME PROBLEMS OF STATISTICAL GEOMORPHOLOGY
- The Role of Observables and Non-observables in Chemistry: A Critique of Chemical Language
- Estimating the expectation values of spin-1/2 observables with finite resources
- Optimal measurements in quantum mechanics
- A Canonical form of Completely Uniformly Locally Weakly Observable Multi-output Nonlinear Systems
- Minimal covariant observables identifying all pure states
- NOTES ON COARSE GRAININGS AND FUNCTIONS OF OBSERVABLES
- Dual Quantum Instruments and Sub-observables
- Quantum computation with rotational states of nonpolar ionic molecules