# Quantum Computing: Lecture Notes

@article{Wolf2019QuantumCL, title={Quantum Computing: Lecture Notes}, author={Ronald de Wolf}, journal={ArXiv}, year={2019}, volume={abs/1907.09415} }

This is a set of lecture notes suitable for a Master's course on quantum computation and information from the perspective of theoretical computer science. The first version was written in 2011, with many extensions and improvements in subsequent years. The first 10 chapters cover the circuit model and the main quantum algorithms (Deutsch-Jozsa, Simon, Shor, Hidden Subgroup Problem, Grover, quantum walks, Hamiltonian simulation and HHL). They are followed by 2 chapters about complexity, 4…

## 37 Citations

### Quantum Computing: Implementing Hitting Time for Coined Quantum Walks on Regular Graphs

- Computer Science
- 2021

A quantum circuit for the MNRS algorithm, which finds a marked node in a graph with a quantum walk, is designed and used to find a hitting time for the marked nodes in the walk, and it is shown that the execution on a noise-free simulator results in hitting times that agree with the theoretical expectations.

### Demonstration of Shor's factoring algorithm for N [Formula: see text] 21 on IBM quantum processors.

- Computer ScienceScientific reports
- 2021

This work implemented the quantum order-finding algorithm for factoring the integer 21 using only five qubits and successfully verified the presence of entanglement between the control and work register qubits, which is a necessary condition for the algorithm's speedup in general.

### Sublinear quantum algorithms for estimating von Neumann entropy

- Computer ScienceElectron. Colloquium Comput. Complex.
- 2021

The problem of obtaining estimates to within a multiplicative factor γ > 1 of the Shannon entropy of probability distributions and the von Neumann entropy of mixed quantum states is studied, and it is proved that no polynomial query algorithm can multiply the entropy of distributions with arbitrarily low entropy.

### Thermodynamic optimization of quantum algorithms: on-the-go erasure of qubit registers

- Computer Science, Physics
- 2021

There is a trade-off: if the authors have enough partial information about a problem to build efficient on-the-go erasure, they can use it to instead simplify the algorithm, so that fewer qubits are needed to run the computation in the first place.

### Quantum protocols for few-qubit devices

- Computer Science
- 2020

This thesis focuses on near-term experiments that feature a small number of qubits that lose the stored information after a short amount of time, and proposes various theoretical protocols that can get the best out of such highly limited computers.

### OPTIMALITY IN STABILIZER TESTING

- Computer Science
- 2018

This thesis attempts to answer whether there exists a stabilizer testing algorithm that is perfectly complete and independent of the number of qubits given less than 6 copies of the state, and investigates whether there is a protocol that is more efficient than the one that just repeats the 6-copy algorithm many times.

### Quantum Analysis of AES Lowering Limit of Quantum Attack Complexity

- Computer Science
- 2022

This work presents the least Toffoli depth and full depth implementations of AES, thereby improving from Zou et al.

### Quantum Natural Language Generation on Near-Term Devices

- Computer ScienceINLG
- 2022

This paper designs a hybrid quantum-classical algorithm for sentence generation based on the well-known simulated annealing technique for combinatorial optimisation, and uses this algorithm to demonstrate successful sentence generation on both simulated and real quantum hardware.

### Quantum Analysis of AES

- Computer ScienceIACR Cryptol. ePrint Arch.
- 2022

This work presents the least Toffoli depth and full depth implementations of AES, thereby improving from Zou et al.

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