Encoding classical data into a quantum computer
arXiv:2107.09155
Abstract
In this article we describe a technique to transfer data from classical domain to quantum domain. We consider a set of classical data in the form of a column matrix and prepare a -qubit quantum state, whose components correspond to the classical data. To prepare this -qubit quantum vector we use Schmidt decomposition and singular value decomposition techniques respectively and construct the corresponding family of quantum circuits. To strengthen our argument we also give specific examples by considering a set of 4 and 16 classical data and constructing the corresponding 2 and 4-qubit quantum vector respectively.
arXiv comment13 pages, 1 figure
References in corpus (14)
- Quantum Machine Learning
- Quantum Mechanics helps in searching for a needle in a haystack
- Elementary gates for quantum computation
- Quantum random access memory
- Synthesis of Quantum Logic Circuits
- Quantum algorithms for supervised and unsupervised machine learning
- Optimal Quantum Circuits for General Two-Qubit Gates
- Quantum-state preparation with universal gate decompositions
- A universal quantum circuit for two-qubit transformations with three CNOT gates
- Quantum circuits with uniformly controlled one-qubit gates
- Probabilistic Quantum Memories
- Singular value decomposition and matrix reorderings in quantum information theory
- Loading Classical Data into a Quantum Computer
- Quantum walk speedup of backtracking algorithms