Thank you very much for the feedback and the excellent suggestion! I will definitely look into J.M. Jauch's work. Our manuscript is currently under review at a journal, but I will try to include this reference in our next revision.
🧪⚛️ Conclusion: Complex numbers are incredibly elegant, but they encode a deeper real geometric structure governing quantum interference. They are not a fundamental necessity!
Read the full proof on arXiv here: arxiv.org/abs/2604.19482
#QuantumPhysics #Physics #CBPF 6/6
🧪⚛️ The ultimate test: the CHSH3 inequality. Previous real models failed this, but our Kähler formulation achieves the maximal violation of 6√2 using purely real variables! We directly resolve the falsifiability debate with no complex numbers required. 5/6
🧪⚛️ The solution lies in geometry! We present a rigorous real-valued framework based on a Kähler space. By introducing a symplectic composition rule that replaces the standard Kronecker product for composite systems, we prove an exact isomorphism with complex quantum theory. 4/6
🧪⚛️ But is the debate truly over? Alongside my co-authors Evaldo Curado and Jean-Pierre Gazeau, we show that this previous conclusion rests on an incomplete algebraic assumption: the standard real tensor product used in these no-go theorems is structurally incompatible. 3/6
🧪⚛️ In 2021, a landmark paper claimed to settle this debate, arguing that any quantum theory based strictly on real numbers could be experimentally falsified via network Bell experiments. The physics community largely accepted that complex numbers were an absolute necessity. 2/6
🧪⚛️ Are complex numbers fundamentally required by nature, or just a mathematical convenience? Schrödinger himself thought the imaginary unit was a "profound joke." I am thrilled to share our new preprint: "Quantum mechanics over real numbers fully reproduces standard quantum theory." 🧵 1/6
⚛️🧪 We invite original research & review articles. Papers must establish a clear definition of integrability in their context to help unify the field. Submit your work & join the discussion! 📄 www.mdpi.com/journal/axio...
#CFP #AcademicSky
⚛️🧪 Our scope covers (but not limited to):
🔹 Integrable vs chaotic dynamics
🔹 Quantum algebras & groups
🔹 Spin chains
🔹 Exact scattering & S-matrices
🔹 Statistical mechanics
🔹 Quantum info & computation
#QuantumInformation #StatisticalMechanics #PhysicsResearch
⚛️🧪 Exactly solvable models are crucial, yet a universally standardized mathematical statement of quantum integrability is missing! This issue bridges abstract formalism with physical applications to rigorously define this concept.
#MathPhysics #QuantumComputing #Physics
⚛️🧪 Thrilled to guest edit the Axioms Special Issue: "Quantum Integrable Systems: Mathematical Structures & Applications" with Dr. Marcelo Pires. We're seeking groundbreaking papers! www.mdpi.com/journal/axio...
#QuantumPhysics #CallForPapers
Kkkkkkkkkkkk
⚛️🧪 We hope this helps clarify the subtle relationship between quantum and classical descriptions of physical systems. Next up: extending this approach to open quantum systems and the Lindblad equation! What are your thoughts on this mapping?
#PhysicsResearch #SymmetryJournal
⚛️🧪 The non-zero coherence terms in the density operator introduce an angular dependence. It gives us a direct, visual signature of quantum entanglement right in the classical phase space!
#QuantumPhysics #PhaseSpace
⚛️🧪 We compared a mixed state and a pure entangled Bell state. The mixed state is invariant under rotations. But for the entangled state, quantum correlations couple the phases, breaking that radial symmetry.
#TheoreticalPhysics #QuantumEntanglement
⚛️🧪 How does quantum entanglement look in classical phase space? In our latest work, we use integral quantization to show that quantum correlations appear as a lack of radial symmetry. Published in Symmetry! Read more here: doi.org/10.3390/sym18030403
#QuantumMechanics #IntegralQuantization
Novidade no #PythonCamp2026!
O módulo "Hands-on: Matéria Ativa", que darei com o Dr. Rodrigo Coelho, agora vale 2 créditos de pós-graduação!
Vamos simular bactérias, enxames e transições de ordem com Python.
📅 2 a 6 de Março 🔗 github.com/pythoncampcb...
#Python #CBPF #MatériaAtiva
#cienciabr
🧪⚛️ Exciting news for #PythonCamp2026! 🐍
The "Hands-on: Active Matter" module I'm teaching with Dr. Rodrigo Coelho is now officially worth 2 graduate credits!
Join us to model different physcial systems!
📅 March 2-6 🔗
github.com/pythoncampcb...
#ActiveMatter #ComputationalPhysics #CBPF
Será que já dá pra pensar em julgar e prender quem prescreveu tratamento precoce na pandemia? Quem organizou e executou o contágio do país? Quem negou vacina?
Algumas pessoas acham que estamos exagerando ao apontar os perigos da instalação de data centers no país, mas estamos aqui para mostrar que essa roupagem de progresso vem às custas de retrocessos sociais e ambientais.
🧪⚛️[3/3] A huge thank you to the Theoretical Physics Coordination at CBPF for the kind invitation and for hosting me. The questions and subsequent discussion were a true highlight and have given me so much to think about.
#Physics #Quantum #QuantumComputing #Complexity #OpenQuantumSystems
🧪⚛️[2/3] "From Polarizers to Power Laws: Measuring Quantum Circuit Complexity in Open Systems."
I discussed our findings on how to quantify the complexity of quantum computations when these systems are interacting with their environment. The feedback from such a sharp audience was invaluable.
🧪⚛️[1/3] Thrilled to have presented my work today at the renowned Centro Brasileiro de Pesquisas Físicas (CBPF) in Rio de Janeiro! It's an institution with such a rich history in physics. The energy here is just incredible. 🇧🇷🔬
⚛️🧪(5/5) The future of quantum computing will tackle open systems.Our work is a step towards efficient and practical quantum circuits in the real world! 🚀
⚛️🧪(4/5) Big thanks to the organizers of #ParatyQuantum2025 for a stellar event and to my collaborators at CBPF. The discussions were truly inspiring.
⚛️🧪(3/5) Key finding:The number of gates needed scales as a power law with the desired accuracy. This is a sign of efficient algorithm construction! #QuantumAlgorithms
⚛️🧪(2/5) Our paper: "Quantum circuit complexity for linearly polarized light" We studied open quantum systems, using polarisers as gates to guide states along optimal paths (geodesics). #OpenSystems
⚛️🧪(1/5) Just presented our work on quantum circuit complexity at the Paraty Quantum 2025 workshop!An incredible event for cutting-edge quantum research. #QuantumComputing
Vou fazer um fio sobre pq os próximos meses serão decisivos para gripe aviária e pq vale tomar alguns cuidados desde já.
Na Califórnia, já detectaram gripe aviária em mais de 1/4 dos rebanhos leiteiros. Isso na beira de uma temporada de gripe sazonal, que pode mascarar casos e misturar vírus.
46% dos deputados e senadores são contra a taxação dos super ricos. 70% são contra o fim da escala 6x1. 53% são contra acabar com os supersalários do serviço público. A maior parte da população quer tudo isso.
Conclusão: temos um Congresso q só defende a elite. Congresso inimigo do povo!