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  4. Synthesis of and compilation with time-optimal multi-qubit gates
 
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Synthesis of and compilation with time-optimal multi-qubit gates

Publikationstyp
Journal Article
Publikationsdatum
2023
Sprache
English
Author
Baßler, Pascal 
Zipper, Matthias 
Cedzich, Christopher 
Heinrich, Markus 
Huber, Patrick orcid-logo
Johanning, Michael 
Kliesch, Martin 
Quantum-Inspired and Quantum Optimization E-25 
TORE-URI
http://hdl.handle.net/11420/14164
Enthalten in
Quantum 
Volume
7
Citation
Quantum 7: (2023)
Publisher DOI
10.22331/q-2023-04-20-984
Scopus ID
2-s2.0-85163747220
ArXiv ID
2206.06387v1
We develop a method to synthesize a class of entangling multi-qubit gates for a quantum computing platform with fixed Ising-type interaction with all-to-all connectivity. The only requirement on the flexibility of the interaction is that it can be switched on and off for individual qubits. Our method yields a time-optimal implementation of the multi-qubit gates. We numerically demonstrate that the total multi-qubit gate time scales approximately linear in the number of qubits. Using this gate synthesis as a subroutine, we provide compilation strategies for important use cases: (i) we show that any Clifford circuit on n qubits can be implemented using at most n multi-qubit gates without requiring ancilla qubits, (ii) we decompose the quantum Fourier transform in a similar fashion, (iii) we compile a simulation of molecular dynamics, and (iv) we propose a method for the compilation of diagonal unitaries with time-optimal multi-qubit gates, as a step towards general unitaries. As motivation, we provide a detailed discussion on a microwave controlled ion trap architecture with magnetic gradient induced coupling (MAGIC) for the generation of the Ising-type interactions.
Schlagworte
Quantum Physics
Quantum Physics
Projekt(e)
Skalierbarer Quantencomputer mit Hochfrequenz‐gesteuerten gespeicherten Ionen 
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