Salvatore F. E. Oliviero
@sfeoliviero.bsky.social
Postdoc in Quantum Information at Scuola Normale Superiore.
Reposted by Salvatore F. E. Oliviero
Teaching is fun. Today, I have covered elements of the Pauli and Clifford groups.
Cutely, at the very same moment when in Cologne, a #Berlin-#Cologne workshop is talking place on the Clifford commutant, triggered by two papers only,
arxiv.org/abs/2504.12263,
arxiv.org/abs/1712.08628.
Cutely, at the very same moment when in Cologne, a #Berlin-#Cologne workshop is talking place on the Clifford commutant, triggered by two papers only,
arxiv.org/abs/2504.12263,
arxiv.org/abs/1712.08628.
July 1, 2025 at 8:18 AM
Teaching is fun. Today, I have covered elements of the Pauli and Clifford groups.
Cutely, at the very same moment when in Cologne, a #Berlin-#Cologne workshop is talking place on the Clifford commutant, triggered by two papers only,
arxiv.org/abs/2504.12263,
arxiv.org/abs/1712.08628.
Cutely, at the very same moment when in Cologne, a #Berlin-#Cologne workshop is talking place on the Clifford commutant, triggered by two papers only,
arxiv.org/abs/2504.12263,
arxiv.org/abs/1712.08628.
Reposted by Salvatore F. E. Oliviero
I’d like to advertise two cute technical results of today’s paper that may be of independent interest (I hope):
A new decomposition of Gaussian unitaries and new bosonic trace distance bounds (the saga of bosonic trace distance bounds never ends! 😍)
arxiv.org/abs/2504.19319
1/
A new decomposition of Gaussian unitaries and new bosonic trace distance bounds (the saga of bosonic trace distance bounds never ends! 😍)
arxiv.org/abs/2504.19319
1/
April 29, 2025 at 4:51 PM
I’d like to advertise two cute technical results of today’s paper that may be of independent interest (I hope):
A new decomposition of Gaussian unitaries and new bosonic trace distance bounds (the saga of bosonic trace distance bounds never ends! 😍)
arxiv.org/abs/2504.19319
1/
A new decomposition of Gaussian unitaries and new bosonic trace distance bounds (the saga of bosonic trace distance bounds never ends! 😍)
arxiv.org/abs/2504.19319
1/
Reposted by Salvatore F. E. Oliviero
New bosonic paper out!
Take the covariance matrix of a pure state and count the number of symplectic eigenvalues that are strictly larger than one: this is a powerful non-Gaussian monotone — the *symplectic rank*
arxiv.org/abs/2504.19319
1/
Take the covariance matrix of a pure state and count the number of symplectic eigenvalues that are strictly larger than one: this is a powerful non-Gaussian monotone — the *symplectic rank*
arxiv.org/abs/2504.19319
1/
April 29, 2025 at 11:52 AM
New bosonic paper out!
Take the covariance matrix of a pure state and count the number of symplectic eigenvalues that are strictly larger than one: this is a powerful non-Gaussian monotone — the *symplectic rank*
arxiv.org/abs/2504.19319
1/
Take the covariance matrix of a pure state and count the number of symplectic eigenvalues that are strictly larger than one: this is a powerful non-Gaussian monotone — the *symplectic rank*
arxiv.org/abs/2504.19319
1/
Reposted by Salvatore F. E. Oliviero
🧵 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
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
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...
arxiv.org
April 17, 2025 at 7:05 PM
🧵 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
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
Reposted by Salvatore F. E. Oliviero
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.
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.
April 17, 2025 at 5:19 AM
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.
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.
Reposted by Salvatore F. E. Oliviero
New paper out today on "Q Thermo with CV systems"!
What is the maximum energy that you can extract from a quantum state via Gaussian unitaries only?
We solve this problem by establishing a simple, cute formula for the *Gaussian ergotropy*.
1/
arxiv.org/abs/2503.21748
What is the maximum energy that you can extract from a quantum state via Gaussian unitaries only?
We solve this problem by establishing a simple, cute formula for the *Gaussian ergotropy*.
1/
arxiv.org/abs/2503.21748
March 28, 2025 at 9:58 AM
New paper out today on "Q Thermo with CV systems"!
What is the maximum energy that you can extract from a quantum state via Gaussian unitaries only?
We solve this problem by establishing a simple, cute formula for the *Gaussian ergotropy*.
1/
arxiv.org/abs/2503.21748
What is the maximum energy that you can extract from a quantum state via Gaussian unitaries only?
We solve this problem by establishing a simple, cute formula for the *Gaussian ergotropy*.
1/
arxiv.org/abs/2503.21748