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ZH Calculus for Quantum Oracle Synthesis

Task Description:

The translation of a given problem into a quantum circuit (quantum oracle), also known as quantum oracle synthesis, is not a straightforward task. There are many possibilities and many different quantum circuits that result from those, optimal and non-optimal. One option is to use the ZH calculus, a graph representation for quantum circuits related to the ZX calculus. The idea is to translate a given logic function to the ZH calculus graph representation, use transformation rules for optimization, and then translate the graph to a quantum circuit. Finally, the resulting circuit is compared to other methods for quantum oracle synthesis.

Prerequisites:

  • Prior knowledge on quantum computing
  • Prior knowledge on graph theory is helpful but not mandatory

Overview of the Tasks:

  1. Translate irreversible logic function to ZH calculus
  2. Optimize the graph using suitable optimization values
  3. Translate ZH calculus graph to a quantum circuit
  4. Analyze the results and compare them to other methods

Get in touch:

In case you are interested, please send a short e-mail (German or English) with your motivation and which prerequisites you fulfill to michelle.to@nm.ifi.lmu.de. Please do not send long e-mails generated by a large language model.
If you have any questions, please don't hesitate to get in touch.

Organisatorisches:

Aufgabensteller:
Prof. Dr. D. Kranzlmüller

Dauer der Arbeit:

  • Masterarbeiten: 6 Monate

Anzahl Bearbeiter: 1

Betreuer: