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Transversal AND in Quantum Codes
Christine Li, Lia Yeh
The AND gate is not reversible$\unicode{x2014}$on qubits. However, it is reversible on qutrits, making it a building block for efficient simulation of qubit computation using qutri…
Algebraic Structure of Quantum Controlled States and Operators
Edwin Agnew, Lia Yeh, Richie Yeung
Quantum control is an important logical primitive of quantum computing programs, and an important concept for equational reasoning in quantum graphical calculi. We show that contro…
A dataflow programming framework for linear optical distributed quantum computing
Giovanni de Felice, Boldizsár Poór, Cole Comfort +4
Photonic systems offer a promising platform for interconnecting quantum processors and enabling scalable, networked architectures. Designing and verifying such architectures requir…
Beyond Penrose tensor diagrams with the ZX calculus: Applications to quantum computing, quantum machine learning, condensed matter physics, and quantum gravity
Quanlong Wang, Richard D. P. East, Razin A. Shaikh +3
We introduce the Spin-ZX calculus as an elevation of Penrose's diagrams and associated binor calculus to the level of a formal diagrammatic language. The power of doing so is illus…
The Focked-up ZX Calculus: Picturing Continuous-Variable Quantum Computation
Razin A. Shaikh, Lia Yeh, Stefano Gogioso
While the ZX and ZW calculi have been effective as graphical reasoning tools for finite-dimensional quantum computation, the possibilities for continuous-variable quantum computati…