P12 - Tensor Networks and Quantum Circuits for Quantum Computers

Borivoje Dakic


Tensor networks provide a new paradigm in many body physics by which the entanglement structure of the correlated system can be probed directly. Symmetries, topological phases and the breaking thereof are reflected into the symmetries of the local tensors. Such a tensor network description of a quantum many body system or quantum field theory automatically yields a quantum circuit description by which a quantum computer would be able to simulate such field theories. Conversely, representing entangled states of matter on a quantum computer is tightly linked to the problem of quantum error correction, as it is precisely the nonlocal degrees of freedom which can be exploited to safeguard the qubits. The long-term goals and visions of this project are to develop a unified theory based on tensor networks and quantum circuits for describing entanglement in many body systems and using this structure to build robust fault tolerant quantum computers.

Frank Verstraete on
Tensor Networks and Quantum Circuits for Quantum Computers


Subproject Leader: Borivoje Dakic

Co-PI: Frank Verstraete

PhDs: Miguel Gallego, Sebastian Horvat, Joshua Morris


Sample-Efficient Device-Independent Quantum State Verification and Certification
A. Gočanin, I. Šupić, and B. Dakić
PRX Quantum 3, 010317 (2022)

Interference as an information-theoretic games
S. Horvat and B. Dakić
Quantum 5, 404 (2021)

Coherence Equality and Communication in a Quantum Superposition
F. Del Santo and B. Dakić
Phys. Rev. Lett. 124, 190501 (2020)

Experimental few-copy multipartite entanglement detection
V. Saggio, A. Dimić, C. Greganti, L. A. Rozema, P. Walther, B. Dakić
Nature Physics 15 (2019)

Experimental Two‐Way Communication with One Photon
F. Massa, A. Moqanaki, Ä. Baumeler, F. Del Santo, J. A. Kettlewell, B. Dakić, P. Walther,
Advanced Quantum Technologies (2019).

For further publications: see here.