Transformation of quantum states using uniformly controlled rotations
By Mikko Möttönen, Juha J. Vartiainen, Ville Bergholm, Martti M. Salomaa. Quantum information & computation, 2004
335 citations recorded by the source corpus.
We consider a unitary transformation which maps any given state of an n-qubit quantum register into another one. This transformation has applications in the initialization of a quantum computer, and also in some quantum algorithms. Employing uniformly controlled rotations, we present a quantum circuit of 2n+2 - 4n - 4 CNOT gates and 2n+2 - 5 one-qubit elementary rotations that effects the state transformation. The complexity of the circuit is noticeably lower than the previously published results. Moreover, we present an analytic expression for the rotation angles needed for the transformation.
Subfields: Ocean Engineering, Physical and Theoretical Chemistry, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9982c26cd79394cd0ba47017f5758272707f62bc
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In Ocean Engineering
In Physical and Theoretical Chemistry
In Statistical and Nonlinear Physics
Citations in the corpus
- Variational Quantum Circuits for Deep Reinforcement Learning (2019, background): “ast to poly(n) in a standard neural network. However, it is hard to implement the amplitude encoding scheme as there is no known efficient algorithm to prepare classical vectors into quantum registers [45]. The computational basis encoding in our proposed variational quantum DQL (DQN) involves nparam”
- Quantum risk analysis (2018, background): “In general, the best known upper bound for the number of gates required to create ψ j in is O(2).(28) However, approximations with polynomial complexity in n are possible for many distributions, e.”