# Quantum state preparation and nonunitary evolution with diagonal operators

@article{Schlimgen2022QuantumSP, title={Quantum state preparation and nonunitary evolution with diagonal operators}, author={Anthony W. Schlimgen and Kade Head-Marsden and LeeAnn M. Sager-Smith and Prineha Narang and David A. Mazziotti}, journal={Physical Review A}, year={2022} }

Realizing non-unitary transformations on unitary-gate based quantum devices is critically important for simulating a variety of physical problems including open quantum systems and subnormalized quantum states. We present a dilation based algorithm to simulate non-unitary operations using probabilistic quantum computing with only one ancilla qubit. We utilize the singular-value decomposition (SVD) to decompose any general quantum operator into a product of two unitary operators and a diagonal…

## 2 Citations

### Quantum Simulation of Open Quantum Systems Using Density-Matrix Purification

- Physics
- 2022

Electronic structure and transport in realistically-sized systems often require an open quantum system (OQS) treatment, where the system is deﬁned in the context of an environment. As OQS evolution…

### The wave-particle duality of the qudit quantum space and the quantum wave gates

- Physics
- 2022

: We propose three core ideas: 1. the wave-particle duality of the qudit quantum space; 2. the classification of all elementary quantum gates by ordered pairs of qudit functionals; 3. a new type of…

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