Antonio Anna Mele

Thank you Zoltan! 🙂

Huge thanks to my co-authors for this fantastic collaboration — @francescoannamele.bsky.social, Lennart Bittel, @jenseisert.bsky.social, Vittorio Giovannetti, @ludovicolami.bsky.social, Lorenzo Leone, and Salvatore F. E. Oliviero! 🚀

Learning quantum states of continuous-variable systems - Nature Physics Finding a classical description of a quantum state can require resource-intensive tomography protocols. It has now been shown that, for bosonic systems, tomography is extremely inefficient in general,...

Super happy to share that our paper "Learning quantum states of continuous-variable systems" has been published in Nature Physics 🎉

www.nature.com/articles/s41...

Quantum Computing and Early Fault-Tolerant Simulations at Los Alamos National Laboratory Los Alamos National Laboratory is Hiring! Search available jobs or submit your resume now by visiting this link. Please share with anyone you feel would be a great fit.

Just a friendly reminder that there are currently two ads for postdocs at Los Alamos National Laboratory:

Quantum Simulations of fermionic systems apply here: lanl.jobs/search/jobde...

Quantum Simulations for nuclear physics apply here: lanl.jobs/search/jobde...

Shares appreciated

Huge thanks to my coauthors, Lennart Bittel, @jenseisert.bsky.social, Marco Fanizza, @vishnu-psiyer.bsky.social, Junseo Lee, Lorenzo Leone, @francescoannamele.bsky.social , and Salvatore F. E. Oliviero.

A complete theory of the Clifford commutant The Clifford group plays a central role in quantum information science. It is the building block for many error-correcting schemes and matches the first three moments of the Haar measure over the unit...

Super happy to see that two of our papers were accepted as talks at QIP 2026 🎉

- A complete theory of the Clifford commutant arxiv.org/abs/2504.12263.

- Efficient learning of bosonic Gaussian unitaries arxiv.org/abs/2510.05531.

The only thing that could possibly be hotter than Italian twins explaining entanglement in Italian is Italian triplets explaining the GHZ state.

Google PhD fellowship program The Google PhD Fellowship Program recognizes outstanding graduate students doing exceptional work in computer science, related disciplines, or promising research areas.

research.google/programs-and...

I’m honored for this support and grateful to all my collaborators who have made this research journey so exciting. I look forward to continuing my work in quantum information and using the fellowship to broaden my horizons!

Announcing the 2025 Google PhD Fellows Today, we are announcing the recipients of the 2025 Google PhD Fellowship Program.

I’m super happy to share that I have been awarded the 2025 Google PhD Fellowship -- announced yesterday at
blog.google/outreach-ini... 🥳

The fellowship “recognizes outstanding graduate students doing exceptional and innovative research in areas relevant to computer science and related fields.”

It was a great collaboration with Marco Fanizza, Vishnu Iyer, Junseo Lee and Francesco Anna Mele -- mostly entirely done over the past few months on a Whatsapp group that, due to the different time zones of our 3 different continents, was basically constantly active with new insightful messages. 😁

All operations in the protocol are experimentally friendly for current photonic platforms, and the protocol has the nice feature that we can trade more input probe energy for lower sample complexity. 🔦

Super happy to share our new preprint today on ArXiv: 🥳
arxiv.org/pdf/2510.05531

It’s about efficient learning of bosonic Gaussian unitaries with provable recovery guarantees in a physically motivated accuracy metric: the "energy-constrained diamond-norm".

The saga of *quantum learning theory with CV systems* never ends!

And indeed, when you look closely at this field, many natural and promising questions arise. For instance:
How to learn CV Gaussian unitaries?

arxiv.org/pdf/2510.05531

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Characterizing quantum resourcefulness via group-Fourier decompositions In this work we present a general framework for studying the resourcefulness in pure states for quantum resource theories (QRTs) whose free operations arise from the unitary representation of a group....

We recently posted 2 works on quantum resource theories: arxiv.org/abs/2506.19696, arxiv.org/abs/2507.10851

👂Huh? Yall want more? We got you covered with a NEW work

Analyzing the free states of one quantum resource theory as resource states of another

arxiv.org/abs/2507.11793

A unified approach to quantum resource theories and a new class of free operations In quantum resource theories (QRTs) certain quantum states and operations are deemed more valuable than others. While the determination of the ``free'' elements is usually guided by the constraints of...

New work on Quantum resource theories!
arxiv.org/abs/2507.10851

A big thanks to my collaborators @antonioannamele.bsky.social Pablo Bermejo Paolo Braccia Andrew Deneris @martinlaroo.bsky.social and specially@mvscerezo.bsky.social

We provide a unifying framework leading to new free operations 🧵⬇️

Now I’m heading to Cologne for the “Clifford Commutant” workshop (quantum-randomness.com/clifford-wor...), organized by Markus Heinrich, Xhek Turkeshi, and David Gross, where our Berlin team will have the chance to present our recent paper: arxiv.org/abs/2504.12263. 🇩🇪

Just had the chance to spend a wonderful week in Florence, attending the “Understanding Quantum Machine Learning” workshop ggi.infn.it/showevent.pl...
organized by Leonardo Banchi, Giacomo De Palma, Anderson M. Hernandez & Dario Trevisan, at the charming Galileo Galilei Institute. 🇮🇹

Super happy to see our beautiful work out — led by the amazing Los Alamos team — now on arXiv:
“Characterizing Quantum Resourcefulness via Group-Fourier Decompositions” lnkd.in/dQWhG4my.

Check out Marco’s great summary!

Glad to see our Clifford commutant paper accepted as a talk at TQC 2025 happening later this year in India! 🥳

A complete theory of the Clifford commutant

scirate.com/arxiv/2504.1...

The Clifford group is ubiquitous in quantum information science, with applications in benchmarking, quantum error correction and learning algorithms. Understanding which operators commute with is a powerful tool.

A complete theory of the Clifford commutant The Clifford group plays a central role in quantum information science. It is the building block for many error-correcting schemes and matches the first three moments of the Haar measure over the unit...

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We hope these results contribute to the toolbox of anyone working with Clifford circuits 🧰.

Thanks again for the wonderful collaboration to my amazing collaborators Lennart Bittel, @jenseisert.bsky.social, Lorenzo Leone, @sfeoliviero.bsky.social. 💪

We’re very happy to receive feedback! 👍

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💥 Applications abound:
• Complete characterization of measurable magic measures 🧮
• Design of optimal stabilizer property testing strategies 🎯
• A new operational interpretation of stabilizer entropy 🔍, and more!

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📐 We also introduce a graphical calculus tool to diagrammatically manipulate and visualize the elements of this new basis 🎨.

Perfect for hands-on calculations: It allowed us to save lots of writing 📚, as many pages of analytical calculations became just a few diagrams 😉.

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This new "Pauli-sum" basis is intuitive and computationally friendly 💻.

It’s (gracefully) generated by products of:
• Permutation operators (which generate the commutant of the unitary group) 🔄
• Just three additional operators 🔑

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🔧 In our work, we give a full description of the commutant for arbitrary n (qubits) and k (tensor powers):

- An explicit orthogonal basis 🧮

- The exact dimension of the commutant 📏

- A new, compact, and easy-to-manipulate basis formed by isotropic sums of Pauli operators 🔀

Schur-Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations Schur-Weyl duality is a ubiquitous tool in quantum information. At its heart is the statement that the space of operators that commute with the tensor powers of all unitaries is spanned by the permutations of the tensor factors. In this work, we describe a similar duality theory for tensor powers of Clifford unitaries. The Clifford group is a central object in many subfields of quantum information, most prominently in the theory of fault-tolerance. The duality theory has a simple and clean description in terms of finite geometries. We demonstrate its effectiveness in several applications: (1) We resolve an open problem in quantum property testing by showing that "stabilizerness" is efficiently testable: There is a protocol that, given access to six copies of an unknown state, can determine whether it is a stabilizer state, or whether it is far away from the set of stabilizer states. We give a related membership test for the Clifford group. (2) We find that tensor powers of stabilizer states have an increased symmetry group. We provide corresponding de Finetti theorems, showing that the reductions of arbitrary states with this symmetry are well-approximated by mixtures of stabilizer tensor powers (in some cases, exponentially well). (3) We show that the distance of a pure state to the set of stabilizers can be lower-bounded in terms of the sum-negativity of its Wigner function. This gives a new quantitative meaning to the sum-negativity (and the related mana) -- a measure relevant to fault-tolerant quantum computation. The result constitutes a robust generalization of the discrete Hudson theorem. (4) We show that complex projective designs of arbitrary order can be obtained from a finite number (independent of the number of qudits) of Clifford orbits. To prove this result, we give explicit formulas for arbitrary moments of random stabilizer states.

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The seminal work arxiv.org/abs/1712.086... already provided a characterization of the Clifford commutant 🧠, assuming k was relatively small (less than linear with respect to the number of qubits n). However, a characterization for larger values of k was still missing 🤔.

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At the heart of understanding many properties of the Clifford group 💡 — and unlocking its broad range of applications 🚀 — lies its commutant: the set of operators that commute with the k-fold tensor powers of all Clifford unitaries.

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The Clifford group is ubiquitous in quantum information 🌐.
It lies at the core of many key applications 🔑, including error correction, tomography, benchmarking, and more.

It consists of unitaries that map Pauli operators to Pauli operators under conjugation 🔄.

A complete theory of the Clifford commutant The Clifford group plays a central role in quantum information science. It is the building block for many error-correcting schemes and matches the first three moments of the Haar measure over the unit...

🧵 Super excited to finally share our new paper 🎉

Together with the dream team- Lennart Bittel,
@jenseisert.bsky.social, Lorenzo Leone, @sfeoliviero.bsky.social - we present a full theory of the Clifford commutant ⚡, a central object in quantum information. ⚛️

📄 arxiv.org/abs/2504.12263

Mildly-Interacting Fermionic Unitaries are Efficiently Learnable Recent work has shown that one can efficiently learn fermionic Gaussian unitaries, also commonly known as nearest-neighbor matchcircuits or non-interacting fermionic unitaries. However, one could ask ...

I'm excited to share a new preprint about learning unitary operators of mildly-interacting fermions!

arxiv.org/abs/2504.11318

@antonioannamele.bsky.social posed this very interesting question to me and I'm glad to have made progress towards it.