Amazing photofinish. But even more amazing: the bending of the spokes is independent of the speed of the bike. The curves have a free parameter θ (the angle of the spoke at the time of the finish) and given by y(x)=(1+x)tan(θ+x) for all x for which -2 ≤ x ≤ 0 and 0 ≤ (1+x)/cos(θ+x) ≤ 1
October 5, 2026 at 4:47 AM
Amazing photofinish. But even more amazing: the bending of the spokes is independent of the speed of the bike. The curves have a free parameter θ (the angle of the spoke at the time of the finish) and given by y(x)=(1+x)tan(θ+x) for all x for which -2 ≤ x ≤ 0 and 0 ≤ (1+x)/cos(θ+x) ≤ 1
Thrilled that our book is a Waterstones paperback of the year ! www.waterstones.com/campaign/pap...
September 29, 2026 at 7:32 AM
Thrilled that our book is a Waterstones paperback of the year ! www.waterstones.com/campaign/pap...
What is the group of a quantum group?
An update of one of my favourite papers: arxiv.org/abs/2202.06937
An update of one of my favourite papers: arxiv.org/abs/2202.06937
August 17, 2026 at 6:56 AM
What is the group of a quantum group?
An update of one of my favourite papers: arxiv.org/abs/2202.06937
An update of one of my favourite papers: arxiv.org/abs/2202.06937
Glad to see our paper "Perfect particle transmission throughduality defects" published in Nature Physics: rdcu.be/fysBS Do all weird effects in quantum field theory have to do with entanglement?
Perfect particle transmission through duality defects
Nature Physics - Dualities between different models are an important tool in theoretical many-body physics. Here a constructive recipe is given for topological interfaces between dual models that...
rdcu.be
August 7, 2026 at 11:34 AM
Glad to see our paper "Perfect particle transmission throughduality defects" published in Nature Physics: rdcu.be/fysBS Do all weird effects in quantum field theory have to do with entanglement?
"It is not the strongest of tensor networks that survives, nor the most intelligent, but the one most responsive to change". Two related preprints today: On the origin of entanglement scaling arxiv.org/abs/2607.15124
and Implicit differentiation of tensor network algorithms
arxiv.org/abs/2607.15030
and Implicit differentiation of tensor network algorithms
arxiv.org/abs/2607.15030
On the origin of finite entanglement scaling
The concept of finite entanglement scaling forms one of the pillars on which the tensor network ecosystem is built. In this paper, we resolve the open problem of determining the actual perturbations i...
arxiv.org
July 17, 2026 at 8:45 AM
"It is not the strongest of tensor networks that survives, nor the most intelligent, but the one most responsive to change". Two related preprints today: On the origin of entanglement scaling arxiv.org/abs/2607.15124
and Implicit differentiation of tensor network algorithms
arxiv.org/abs/2607.15030
and Implicit differentiation of tensor network algorithms
arxiv.org/abs/2607.15030
Applications are now open for the four-month programme Mathematics of Many-Body Entanglement at the Isaac Newton Institute this fall: www.newton.ac.uk/event/mmb/
Mathematics of many-body entanglement - Isaac Newton Institute
Quantum information theory has exploded recently as a central topic at the intersection of mathematics, physics and theoretical computer science, driven by the...
www.newton.ac.uk
July 13, 2026 at 9:53 AM
Applications are now open for the four-month programme Mathematics of Many-Body Entanglement at the Isaac Newton Institute this fall: www.newton.ac.uk/event/mmb/
Chiral fermions on the lattice and the opening up of a gap in the 3450 model: MPOs come to the rescue, again arxiv.org/abs/2606.24713
Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling
Symmetric mass generation is the interaction-induced opening of a fermion gap without spontaneous symmetry breaking. The anomaly-free 3-4-5-0 model of Wang and Wen provides a minimal one-dimensional s...
arxiv.org
June 24, 2026 at 8:02 AM
Chiral fermions on the lattice and the opening up of a gap in the 3450 model: MPOs come to the rescue, again arxiv.org/abs/2606.24713
An uncomfortable fact is that it is impossible to write down a translationally invariant Hamiltonian for a lattice many-body system in a classical and constant magnetic field. Infinite PEPS with gauge tensors can counteract this magnetic translation symmetry: arxiv.org/abs/2604.24574
April 28, 2026 at 6:32 AM
An uncomfortable fact is that it is impossible to write down a translationally invariant Hamiltonian for a lattice many-body system in a classical and constant magnetic field. Infinite PEPS with gauge tensors can counteract this magnetic translation symmetry: arxiv.org/abs/2604.24574
A long-standing folklore result in the field of tensor networks now has a proof: arxiv.org/abs/2603.28349
March 31, 2026 at 4:24 AM
A long-standing folklore result in the field of tensor networks now has a proof: arxiv.org/abs/2603.28349
Dualities relating equilibrium and non-equilibrium processes: MPOs are everywhere! arxiv.org/abs/2603.09928
Intertwining Markov Processes via Matrix Product Operators
Duality transformations reveal unexpected equivalences between seemingly distinct models. We introduce an out-of-equilibrium generalisation of matrix product operators to implement duality transformat...
arxiv.org
March 11, 2026 at 9:59 AM
Dualities relating equilibrium and non-equilibrium processes: MPOs are everywhere! arxiv.org/abs/2603.09928
Headlines fade, but the wavefunction flows on! Happy that the book "Why Nobody Understands Quantum" is available in the US as of today.
www.panmacmillan.com/authors/fran...
www.panmacmillan.com/authors/fran...
Why Nobody Understands Quantum Physics by Frank Verstraete
Find out more about Why Nobody Understands Quantum Physics by Frank Verstraete
www.panmacmillan.com
February 11, 2026 at 1:20 AM
Headlines fade, but the wavefunction flows on! Happy that the book "Why Nobody Understands Quantum" is available in the US as of today.
www.panmacmillan.com/authors/fran...
www.panmacmillan.com/authors/fran...
Although 2025 was absolutely shocking in terms of the cruelty of powerful people, science can still be a refuge from it. A highlight for me was retreating to the mountains to teach at the Les Houches Summer School. Here are my lecture notes: arxiv.org/abs/2512.24390
Les Houches Lectures Notes on Tensor Networks
Tensor networks provide a powerful new framework for classifying and simulating correlated and topological phases of quantum matter. Their central premise is that strongly correlated matter can only b...
arxiv.org
January 1, 2026 at 8:36 AM
Although 2025 was absolutely shocking in terms of the cruelty of powerful people, science can still be a refuge from it. A highlight for me was retreating to the mountains to teach at the Les Houches Summer School. Here are my lecture notes: arxiv.org/abs/2512.24390
One of my favourite tensor-network diagrams keeps on giving (from arxiv.org/abs/2511.04674 ):
November 7, 2025 at 9:30 AM
One of my favourite tensor-network diagrams keeps on giving (from arxiv.org/abs/2511.04674 ):
Perfect Particle Transmission through Duality Defects arxiv.org/abs/2510.26780 : manifestations on the lattice of one of the most intriguing results in conformal field theory.
October 31, 2025 at 5:15 AM
Perfect Particle Transmission through Duality Defects arxiv.org/abs/2510.26780 : manifestations on the lattice of one of the most intriguing results in conformal field theory.
The 2025 Nobel Prize in Physics, awarded for macroscopic quantum mechanical tunneling, is a perfect example of emergent phenomena in action. It’s also one of the key reasons we wrote our book www.panmacmillan.com/authors/fran...
— because no other popular science book talks about this.
— because no other popular science book talks about this.
October 7, 2025 at 10:58 AM
The 2025 Nobel Prize in Physics, awarded for macroscopic quantum mechanical tunneling, is a perfect example of emergent phenomena in action. It’s also one of the key reasons we wrote our book www.panmacmillan.com/authors/fran...
— because no other popular science book talks about this.
— because no other popular science book talks about this.
Gauging versus dualities: equivalent up to constant depth quantum circuits. arxiv.org/abs/2509.22051
September 29, 2025 at 7:29 AM
Gauging versus dualities: equivalent up to constant depth quantum circuits. arxiv.org/abs/2509.22051
The simpler the physics, the more non-simple the math: new insights into the structure of MPO symmetries arxiv.org/abs/2509.03600
Trading Mathematical for Physical Simplicity: Bialgebraic Structures in Matrix Product Operator Symmetries
Despite recent advances in the lattice representation theory of (generalized) symmetries, many simple quantum spin chains of physical interest are not included in the rigid framework of fusion categor...
arxiv.org
September 5, 2025 at 6:30 AM
The simpler the physics, the more non-simple the math: new insights into the structure of MPO symmetries arxiv.org/abs/2509.03600
Ground states in (topological) phases of quantum spin chains have unique dual descriptions in terms of much less entangled completely symmetry broken ones: a synergy of fusion category and physics. rdcu.be/eAVWm
Entanglement and the density matrix renormalization group in the generalized Landau paradigm
Nature Physics - Quantum spin chains can be represented in several ways, and eigenstates in these dual models have different entanglement structures. By characterizing the dual theories, the...
rdcu.be
August 15, 2025 at 5:18 PM
Ground states in (topological) phases of quantum spin chains have unique dual descriptions in terms of much less entangled completely symmetry broken ones: a synergy of fusion category and physics. rdcu.be/eAVWm
Was fun to record a podcast for @intelligence2.bsky.social with the wonderful host Shini Somara on our book "Why nobody understands quantum physics": scientists and writers, unite! open.spotify.com/episode/6sBG...
Why does nobody understand quantum physics? With Frank Verstraete and Céline Broeckaert
open.spotify.com
August 9, 2025 at 8:28 AM
Was fun to record a podcast for @intelligence2.bsky.social with the wonderful host Shini Somara on our book "Why nobody understands quantum physics": scientists and writers, unite! open.spotify.com/episode/6sBG...
Reposted by Frank Verstraete
Finally, a book that does justice to the hidden heroes of #quantum physics: Landau, Anderson, Wilson i.e., cond. mat. physics community. Symmetry breaking & renormalization, concepts which unite #physics. It includes key papers from many-body physics (see timeline). Looking forward to reading it!!
June 9, 2025 at 10:12 AM
Happy to see our book "Why Nobody Understands Quantum Physics" published in English www.panmacmillan.com/authors/fran.... Unlike other popular science books, we explain quantum and its applications in the way working physicists use and understand them, without shying away from the many-body problem.
June 8, 2025 at 9:56 AM
Happy to see our book "Why Nobody Understands Quantum Physics" published in English www.panmacmillan.com/authors/fran.... Unlike other popular science books, we explain quantum and its applications in the way working physicists use and understand them, without shying away from the many-body problem.