5 papers
Excitation spectra and rank tomography of linear matrix product tangent spaces
Otto T. P. Schmidt, Iacopo Carusotto
We formulate a tangent-space method for algebraic varieties of matrix product states (MPS) to study excitation spectra of non-uniform quantum many-body systems with open boundary c…
Equations of Tree Tensor Network Varieties
Serkan Hoşten, Niharika Chakrabarty Paul, Otto T. P. Schmidt +1
We show that tree tensor network varieties, including tensor train varieties, are general Markov models associated to spaced trees. This allows us to prove that the prime ideals of…
Degree of tensor train varieties via integral geometry
Andrea Rosana, Otto T. P. Schmidt
In this work we consider tensor train varieties. These are varieties of tensors arising in a range of fields, including quantum many-body physics and machine learning. Using method…
Benchmarks in Leipzig
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg +45
Between April 1 and May 15, 2026, a group of 49 mathematicians compiled a dataset of research-level mathematics questions with known answers. Most of the work was done during the 3…
Dynamic rephasing in a telecom warm vapor quantum memory
Ilse Maillette de Buy Wenniger, Paul Burdekin, Shicheng Zhang +6
The Off-Resonant Cascaded Absorption (ORCA) protocol in warm atomic vapors offers a scalable platform for high-bandwidth, low noise quantum memories, but its coherence time is fund…