Proseminar: Quantum Computing and Quantum Simulations
Michael Knap, Johannes Knolle, Frank Pollmann
First Meeting:
to be annoucned
The seminar will be offered this semester at the announced times and will be based on web conferencing. Further details will be sent by email to all participants registered in campus online. Please sign up online to be able to receive the latest information.
List of presentations:
Topics based on "Quantum Computation and Quantum Information", Michael Nielsen and Isaac Chuang (except noted otherwise)
- Entanglement and the Schmidt decomposition (NC)
[https://quantum-computing.ibm.com/composer/docs/iqx/guide/entanglement , https://arxiv.org/abs/1009.6126]
- Quantum teleportation (NC)
[https://github.com/quantumlib/Cirq/blob/master/examples/quantum_teleportation.py,
https://arxiv.org/pdf/quant-ph/9710013.pdf]
- Quantum Computational Complexity (NC)
- Universal quantum computation (NC)
[https://arxiv.org/pdf/quant-ph/0401178.pdf]
- Quantum Cryptography (NC)
[https://github.com/quantumlib/Cirq/blob/master/examples/bb84.py]
- Quantum parallelism and the Deutsch Algorithm (NC)
[https://quantum-computing.ibm.com/composer/docs/iqx/guide/deutsch-jozsa-algorithm]
- Bernstein-Vazirani Algorithm (NC)
[https://qiskit.org/textbook/ch-algorithms/bernstein-vazirani.html]
- Quantum Fourier transform and Quantum phase estimation (NC)
[https://quantum-computing.ibm.com/composer/docs/iqx/guide/shors-algorithm]
- Shor algorithm for factorization (NC)
[https://quantum-computing.ibm.com/composer/docs/iqx/guide/shors-algorithm, https://arxiv.org/abs/1507.08852]
- Quantum search algorithms, Grover (NC)
[https://quantum-computing.ibm.com/composer/docs/iqx/guide/grovers-algorithm]
- Quantum Counting (NC)
[https://qiskit.org/textbook/ch-algorithms/quantum-counting.html]
- Error corrections (Shor code) (NC)
[https://qiskit.org/textbook/ch-quantum-hardware/error-correction-repetition-code.html]
- Stabilizer codes (Toric Code) (NC)
[https://arxiv.org/abs/2104.01180]
- Superdense Coding (NC)
[https://qiskit.org/textbook/ch-algorithms/superdense-coding.html]
- Purification (NC)
[https://arxiv.org/abs/1711.01288]
- Detection of spin-entanglement with ultracold atoms in optical lattices
[https://arxiv.org/abs/0704.3011, https://arxiv.org/abs/1504.02582]
- Quantum simulation with Rydberg atoms
[https://arxiv.org/abs/2012.10614]
- Quantum computing with trapped ions (NC)
[https://arxiv.org/abs/0809.4368,https://arxiv.org/abs/1009.6126]
- Semiconducting qubits
[https://arxiv.org/pdf/2005.06564.pdf]
- NV Centers in Diamonds
[https://www.cambridge.org/core/journals/mrs-bulletin/article/diamond-nv-centers-for-quantum-computing-and-quantum-networks/978A4B94242CF28F9C60F0D9E95E9CBD]
- Superconducting circuits (NC)
[https://arxiv.org/pdf/1905.13641.pdf,
www.capri-school.eu/capri16/lectureres/master_cqed_les_houches.pdf]
- Quantum "Supremacy"
[https://www.nature.com/articles/s41586-019-1666-5 ]
- Randomized measurements
[https://arxiv.org/pdf/1812.02624.pdf]
- Simulation of Lattice Gauge Theories
[https://arxiv.org/abs/1605.04570]
- Variational quantum simulation
[https://qiskit.org/textbook/ch-applications/vqe-molecules.html]
- Simulating quantum many-body dynamics
[https://arxiv.org/abs/1906.06343]
- Compressed quantum circuits
[https://arxiv.org/abs/2008.10322]
- Quantum Approximate Optimization Algorithm (QAOA)
[https://qiskit.org/textbook/ch-applications/qaoa.html]
- Solving Linear Systems
[https://qiskit.org/textbook/ch-applications/hhl_tutorial.html]
- Quantum Convolutional Neural Networks
[https://arxiv.org/abs/1810.03787]
- Emergent hydrodynamics in a trapped ion chain
[https://arxiv.org/abs/2107.00033]
- Quantum Algorithm for Linear Systems of Equations
[https://arxiv.org/abs/0811.3171,
https://en.wikipedia.org/wiki/Quantum_algorithm_for_linear_systems_of_equations]
- Eigenstate Order on a Quantum Processor
[https://arxiv.org/abs/2107.13571,
https://journals.aps.org/prxquantum/references/10.1103/PRXQuantum.2.030346]
- Confinement in a trapped ion quantum simulator
[https://www.nature.com/articles/s41567-021-01194-3]