Top Tweets for #Fermionic
"#GlobalFoundries and #FermionIC have partnered to #manufacture #RF #chips in #India, aiding #fabless #startups in transitioning from #design to #production".
https://t.co/21hRPQQwbK
#India #MakeinIndia
ग्लोबलफाउंड्रीज ने फर्मियोनिक के साथ साझेदारी की, भारतीय कंपनी के लिए बनाएगी पहला चिप
#FocusNews #BusinessNews #GlobalFoundries #Fermionic #ChipManufacturing #IndianTech #SemiconductorPartnership #InnovationInTech #TechCollaboration
https://t.co/drIRml1x9A
PRB Editors' Suggestion: Fractionalized #fermionic #multicriticality in #anisotropic #Kitaev #SpinOrbitalLiquids
Max Fornoville and Lukas Janssen
Phys. Rev. B 112, 125142
➡️ https://t.co/RPKCnGk4sY
#EdSugg @APSPhysics #physics #condmat
Optimal trace distance bounds for free-fermionic states: Testing and improved tomography
How can one optimally learn Gaussian fermionic states from data? A new trace distance bound is the key to establish such a protocol.
https://t.co/shK0jFhDmN
In detail, free-#fermionic states, also known as fermionic #Gaussian states, represent an important class of quantum states that are ubiquitous in physics. They are uniquely and efficiently described by their correlation matrix.
However, in practical #experiments, the correlation matrix can only be estimated with finite accuracy. This raises the question: How does the error in estimating the correlation matrix affect the trace-distance error of the state? We show that if the correlation matrix is known with an error 𝜀, the trace-distance error also scales as 𝜀 (and vice versa). Specifically, we provide distance bounds between (both pure and mixed) free-fermionic states in relation to their correlation-matrix distance.
Our analysis also extends to cases in which one state may not be free-fermionic. Importantly, we leverage our preceding results to derive significant advancements in property testing and tomography of free-fermionic states. Property testing involves determining whether an unknown state is close to or far from being a free-fermionic state.
We first demonstrate that any algorithm capable of testing arbitrary (possibly mixed) free-fermionic states would inevitably be inefficient, implying that there is no efficient strategy to estimate the non-Gaussianity of a state. Then, we present an efficient algorithm for testing low-rank free-fermionic states. For free-fermionic state tomography, we provide improved bounds on the sample complexity in the pure-state scenario, substantially improving over previous literature, and we generalize the efficient algorithm to mixed states, discussing its noise #robustness.
Happy to see it out in @PRX_Quantum.
Warm thanks to @bittel_l, @QuAntonioMele, and @lorenzo_leone_ for this - once again - wonderful collaboration.
PRB Editors' Suggestion: #Fermionic #entanglement in #altermagnets
M. Kulig, T. Masłowski, K. A. Kouzakov, V. K. Dugaev, P. Kurashvili, S. Wolski1, M. Inglot et al.,
Phys. Rev. B 111, 184427
➡️ https://t.co/sYqVWh3Ouy
#OpenAccess #EdSugg @APSPhysics #physics #condmat
PRB Editors' Suggestion: #Magnetic, #thermodynamic, and dynamical properties of the three-dimensional #fermionic #HubbardModel: A comprehensive #MonteCarlo study
Y.-F. Song et al.,
Phys. Rev. B 111, 035123
➡️ https://t.co/ZGkCPm6LOW
#EdSugg @APSPhysics #condmat #physics
#PRBTopDownload: Stacking group structure of #fermionic symmetry-protected #topological phases
X.-Y. Ren, S.-Q. Ning, Y. Qi, Q.-R. Wang, and Z.-C. Gu
Phys. Rev. B 110, 235117 – Published 5 December, 2024
➡️ https://t.co/sadROYERZL
#condmat #physics @APSPhysics
Solving interacting #fermionic quantum many-body problems as they are ubiquitous in #quantumchemistry and #materials science is a central task of theoretical and numerical physics, a task that can commonly only be addressed in the sense of providing approximations of #groundstates. For this reason, it is important to have tools at hand to assess how well simple ansatzes would fare.
In this work, we provide rigorous guarantees on how well fermionic Gaussian product states can approximate the true ground state, given a weighted interaction graph capturing the interaction pattern of the systems.
Our result can be on the one hand seen as a #extendibility result of fermionic quantum states: It says in what ways fermionic correlations can be distributed. On the other hand, this is a non-symmetric #deFinettitheorem for fermions, as the direct fermionic analog of a theorem due to Brandao and Harrow. We compare the findings with the distinctly different situation of distinguishable finite-dimensional quantum systems, comment on the approximation of ground states with Gaussian states and elaborate on the connection to the no low-energy trivial state conjecture.
Free-#fermionic states, also known as fermionic #Gaussian states, represent an important class of quantum states ubiquitous in physics. They are uniquely and efficiently described by their correlation matrix. However, in practical experiments, the correlation matrix can only be estimated with finite accuracy.
This raises the question: how does the error in estimating the correlation matrix affect the trace-distance error of the state? We show that if the correlation matrix is known with an error ε, the trace-distance error also scales as ε (and vice versa). Specifically, we provide distance bounds between (both pure and mixed) free-fermionic states in relation to their correlation matrix distance.
Our analysis also extends to cases where one state may not be free-fermionic. Importantly, we leverage our preceding results to derive significant advancements in #propertytesting and #tomography of free-fermionic states. Property testing involves determining whether an unknown state is close to or far from being a free-fermionic state.
We first demonstrate that any algorithm capable of testing arbitrary (possibly mixed) free-fermionic states would inevitably be inefficient. Then, we present an efficient algorithm for testing #lowrank free-fermionic states. For free-fermionic state tomography, we provide improved bounds on sample complexity in the pure-state scenario, substantially improving over previous literature, and we generalize the efficient algorithm to mixed states, discussing its noise-robustness.
Free-#fermionic states, also known as #matchgates or Gaussian states, are a fundamental class of quantum states due to their efficient classical simulability and their crucial role across various domains of physics.
With the advent of quantum devices, experiments now yield data from quantum states, including estimates of expectation values. We establish that deciding whether a given dataset, formed by a few #Majorana correlation functions estimates, can be consistent with a free-fermionic state is an NP-complete problem.
Our result also extends to datasets formed by estimates of Pauli expectation values. This is in stark contrast to the case of stabilizer states, where the analogous problem can be efficiently solved.
Moreover, our results directly imply that free-fermionic states are computationally hard to properly PAC-learn, where #PAClearning of quantum states is a learning framework introduced by Aaronson. Remarkably, this is the first class of classically #simulable quantum states shown to have this property.
@BosonProtocol Things are getting #fermionic for real! time to stake your $BOSON @BosonProtocol
tokens fam!
What's new in #Quantum #computing?
A quantum computer with over 1,000 qubits
A new type that uses #fermionic #atoms to simulate complex physical systems
#Quantum repeaters that use defects in #Diamond to connect quantum systems
#Newtechnologies
PRB Editors' Suggestion: #Exciton-#phonon scattering: Competition between the #bosonic and #fermionic nature of bound #electron-#hole pairs
M. Katzer, M. Selig, L. Sigl et al.,
Phys. Rev. B 108, L121102
➡️ https://t.co/v7gq9T2F72
#PRBLetter #EdSugg #condmat #physics @APSPhysics
PRB Editors' Suggestion: Classification of (2+1)D invertible #fermionic #topological phases with #symmetry
Maissam Barkeshli, Yu-An Chen, Po-Shen Hsin, and Naren Manjunath
Phys. Rev. B 105, 235143
#physics #condmat #EdSugg @APSPhysics
Article: https://t.co/G2gg06xRNx
PhD positions @LMU_Muenchen... https://t.co/F50C7OhwBu
P1: Tensor network methods for #quantum chemistry
P2: Foundation of quantum computing: #fermionic systems
P3: Quantum information theory for fermions
P4: Foundation of functional theories & N-representability problem
PRB Editors' Suggestion: Influence of channel mixing in #fermionic #Hong_Ou_Mandel experiments
M. Acciai, P. Roulleau, I. Taktak, D. C. Glattli, and J. Splettstoesser
Phys. Rev. B 105, 125415
#OpenAccess #physics #condmat #EdSugg @APSPhysics
Article: https://t.co/frHKBSeXGK
PRB Editors' Suggestion: Noninteracting #fermionic systems with localized losses: Exact results in the #hydrodynamic limit
Vincenzo Alba and Federico Carollo
Phys. Rev. B 105, 054303
#physics #condmat #EdSugg @APSPhysics
Article: https://t.co/6QM22j0vjH
PRB Editors' Suggestion: Canonical derivation of the #fermionic influence #superoperator
Mauro Cirio, Po-Chen Kuo, Yueh-Nan Chen, Franco Nori, and Neill Lambert
Phys. Rev. B 105, 035121
#physics #condmat #EdSugg @APSPhysics
Article: https://t.co/N3yr5ARyZf
PRB Editors' Suggestion: Fragile versus stable #two_dimensional #fermionic #quasiparticles
Seongjin Ahn and Sankar Das Sarma
Phys. Rev. B 104, 125118 – Published 13 September 2021
#physics #condmat #EdSugg @APSPhysics
Article: https://t.co/FU49PiD86u
Last Seen Hashtags on Sotwe
Most Popular Users
Elon Musk 
@elonmusk
240.2M followers
Barack Obama
@barackobama
119.3M followers
Donald J. Trump
@realdonaldtrump
111.6M followers
Cristiano Ronaldo
@cristiano
109.3M followers
Narendra Modi
@narendramodi
106.9M followers
Rihanna
@rihanna
97.4M followers
NASA
@nasa
92.1M followers
Justin Bieber
@justinbieber
90.6M followers
KATY PERRY
@katyperry
87M followers
Taylor Swift
@taylorswift13
80.8M followers
Lady Gaga
@ladygaga
72.4M followers
Kim Kardashian
@kimkardashian
69.5M followers
Virat Kohli
@imvkohli
68.9M followers
YouTube
@youtube
68.6M followers
Bill Gates
@billgates
63.5M followers
The Ellen Show
@theellenshow
62.5M followers
CNN
@cnn
61.9M followers
Neymar Jr
@neymarjr
61.5M followers
X
@x
60.9M followers
Selena Gomez
@selenagomez
60.1M followers