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Quantum Geometry in Hyperbolic Band Theory
Ahmed Adel Mahmoud, Riccardo Sorbello, Ronny Thomale +1
Hyperbolic band theory (HBT) has recently unveiled a wealth of exotic physical phenomena in negatively curved spaces. Concurrently, the quantum metric has emerged as a fundamental…
Rethinking Quantum Circuits
Steven Rayan
These notes develop four interconnected ways of reading a quantum circuit. A circuit for us begins as an operational composition of gates; then, it becomes a diagram whose local eq…
Hyperbolic Cluster States for Fault-Tolerant Measurement-Based Quantum Computing
Ahmed Adel Mahmoud, Gabrielle Tournaire, Sven Bachmann +1
Fault-tolerant measurement-based quantum computing (MBQC) provides a compelling framework for fault-tolerant quantum computation, in which quantum information is processed through…
A Scalable Superconducting Circuit Framework for Emulating Physics in Hyperbolic Space
Xicheng Xu, Ahmed Adel Mahmoud, Noah Gorgichuk +3
Theoretical studies and experiments in the last six years have revealed the potential for novel behaviours and functionalities in device physics through the synthetic engineering o…
Systematic Approach to Hyperbolic Quantum Error Correction Codes
Ahmed Adel Mahmoud, Kamal Mohamed Ali, Steven Rayan
Quantum error correction codes defined on hyperbolic lattices leverage the unique geometric properties of the hyperbolic space to enhance the performance of quantum error correctio…
Direct entanglement ansatz learning (DEAL) with ZNE on error-prone superconducting qubits
Ziqing Guo, Steven Rayan, Wenshuo Hu +1
Quantum combinatorial optimization algorithms typically face challenges due to complex optimization landscapes featuring numerous local minima, exponentially scaling latent spaces,…