El grupo de Termodinámica y Computación Cuántica les invita al siguiente seminario
Fecha: Viernes 21, Febrero
Hora: 12:00 am
Lugar: Laboratorio de Fïsica Computacional, Dept de Electromagnetismo y Física de al Materia, Planta Baja, Facultad de Ciencias (junto al péndulo gigante)
Ponente: Razin A. Shaik (University of Oxford and Quantinuum)
Titulo: The Focked-up ZX calculus: Picturing Continuous-Variable Quantum Computation
Resumen: While the ZX and ZW calculi have been effective as graphical reasoning tools for finite-dimensional quantum computation, the possibilities for continuous-variable quantum computation (CVQC) in infinite-dimensional Hilbert space are only beginning to be explored. In this work, we formulate a graphical language for CVQC. Each diagram is an undirected graph made of two types of spiders: the Z spider from the ZX calculus defined on the reals, and the newly introduced Fock spider defined on the natural numbers. The Z and X spiders represent functions in position and momentum space respectively, while the Fock spider represents functions in the discrete Fock basis. In addition to the Fourier transform between Z and X, and the Hermite transform between Z and Fock, we present exciting new graphical rules capturing heftier CVQC interactions.
We ensure this calculus is complete for all of Gaussian CVQC interpreted in infinite-dimensional Hilbert space, by translating the completeness in affine Lagrangian relations by Booth, Carette, and Comfort. Applying our calculus for quantum error correction, we derive graphical representations of the Gottesman-Kitaev-Preskill (GKP) code encoder, syndrome measurement, and magic state distillation of Hadamard eigenstates. Finally, we elucidate Gaussian boson sampling by providing a fully graphical proof that its circuit samples submatrix hafnians. (https://arxiv.org/abs/2406.02905)
El seminario es accesible para los estudiantes de grado, a los que recomendamos encarecidamente que asistan. Para aquellos que no puedan asistir, también hemos configurado una reunión de Google donde el seminario se transmitirá en vivo.
https://meet.google.com/csb-snng-bmu
También os recordamos a todos la página web del Seminario de Grupos,
https://ic1.ugr.es/eventos/wp/qjc/
donde se publicarán anuncios pasados, presentes y futuros.
Nos vemos a todos allí
DJM
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Dear all
The Quantum Thermodynamics and Computation group cordially invites you to the following seminar
Date: Friday 21 February
Time: 12:00 am
Location: Computational Physics Laboratory, Department of Electromagnetism and Condensed Mater, Ground Floor, Faculty of Science (next to the giant pendulum)
Speaker: Razin A. Shaik (University of Oxford and Quantinuum)
Title: The Focked-up ZX calculus: Picturing Continuous-Variable Quantum Computation
Abstract: While the ZX and ZW calculi have been effective as graphical reasoning tools for finite-dimensional quantum computation, the possibilities for continuous-variable quantum computation (CVQC) in infinite-dimensional Hilbert space are only beginning to be explored. In this work, we formulate a graphical language for CVQC. Each diagram is an undirected graph made of two types of spiders: the Z spider from the ZX calculus defined on the reals, and the newly introduced Fock spider defined on the natural numbers. The Z and X spiders represent functions in position and momentum space respectively, while the Fock spider represents functions in the discrete Fock basis. In addition to the Fourier transform between Z and X, and the Hermite transform between Z and Fock, we present exciting new graphical rules capturing heftier CVQC interactions.
We ensure this calculus is complete for all of Gaussian CVQC interpreted in infinite-dimensional Hilbert space, by translating the completeness in affine Lagrangian relations by Booth, Carette, and Comfort. Applying our calculus for quantum error correction, we derive graphical representations of the Gottesman-Kitaev-Preskill (GKP) code encoder, syndrome measurement, and magic state distillation of Hadamard eigenstates. Finally, we elucidate Gaussian boson sampling by providing a fully graphical proof that its circuit samples submatrix hafnians. (https://arxiv.org/abs/2406.02905)
The seminar is accessible to undergraduate students, whom we strongly encourage to attend. For those of you unable to attend the seminar, we have set-up the following google meet link for the upcoming seminar.
https://meet.google.com/csb-snng-bmu
We would also like to bring to your attention the groups seminar page
https://ic1.ugr.es/eventos/wp/qjc/
where you can find relevant material and information about past, present, and future seminars.
See you all there
DJM.