Quantum physicist, industrial musician and FQxI scientific advisory council member Bob Coecke will be giving a public lecture at the Royal Institution, London, UK on Monday 21st October 2024. Coecke will present a new way to understand the quantum world that makes quantum physics more accessible by replacing complex mathematics with intuitive diagrams. Book tickets here: https://www.rigb.org/whats-on/new-way-understand-quantum-world.
Bob Coecker Public Talk: A New Way to Understand the Quantum World
Zeeya Merali Bob coekce has sent me his book, it is more than relevant, I work about this actually., I have read well the book, excellent this quantum in pictures and these spiders and methods for the quantum computing, it simplifies the actual methods and the computer shall be smaller and more quick to solve the problems , it is relevant for the researchs mixed with this AI, I try to make a model with the spherical volumes and link with thre QM and QFT and qubits in replacing by the momentum and positions and in considering the volumes, , so the topology is considered and the phases, it is relevant in higher dimensions and it is a kind of bridge towards a new category theoretic foundation. Incorporating position, momentum, and volume suggests an entirely new type of quantum logic where states aren’t binary or even limited to multi-level qudits, but exist within a geometric or topological space. This requires new forms of quantum gates and measurement techniques that respect continuous quantum variables.
Such a model could lead to phase-space-based quantum logic, where transformations occur within geometric constraints defined by position, momentum, and potentially volume, requiring a rethinking of logic gates themselves as geometric transformations. Regards
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Considering qutrits as the foundational unit for quantum information — rather than qubits — opens up exciting possibilities for encoding data in higher-dimensional spaces. It is the link with the QM, QFT and quantum computing maybe if the 3 level systems are considered instead of binary qubits. That can permit to naturally consider the phase,inputs , outputs ,and space representations with the positions, momentum and volumes,. If the primary informations are in this logic , so the quantum states can be represented in a continuous context . The multidimenisonal phase space and this uncertainty so become relevant . We know that the phases are essential for the quantum computing in checking the interactions of states, , so the superpositions of qutrits also . The angles become intriguing and rotations also .The transformations are more complex and moimate the universe maybe and the spherical volumes and oscillations, motions, rotations,......It seems possible with the coordinates sets and calculations and geonetric transformations and phases shifts and error correction mechanisms. So the qutrits gates and phase space and circuits with the error resistances can appear.
The relevance is the encodings with the volumes and phases interferences , that could permit to filter or amplify the states, The specific regions of phases can permit the input and output .
The mapping of these inputs and outputs with topological and geometrical tramsformations become relevant with the coordinates and these transformations. The logical operations and calculations with the position, momentum and volumes for the qutrit states become relevant also for the changes preserving the volumes and it is taking like a protection of quantum informations like gates.
For the representation of circuits with the qutrit phase spaces. it is complex with the gates for the rotations, translations, momemtum changes, and even volume changes , for the density it is an other possible story, The fact to buil circuits in hhigher diemnsional gaytes with concrete quantum algorythms could permit to reduce the circuits , it seems interesting for the machine learning and simulations , maybe for the cryptography also,The fact to encode and transform in these higher dimensional spaces can improve the actual models and their efficiency with even better quantum error corrections and better storages with better resistances,
Will his talk come here on FQXI?
Spherical Topological Geometrical Algebras:
These algebras are used to describe symmetries and transformations in spherical spaces The Lie groups and Lie algebras can be correlated and hilbert spaces for the tensors, vetors, scalars, transformations, rotations, transferts of informations and checking of errors. Now we choose the eries in function of partitions and numbers for the volumes, the space can disappear between spheres with specific series of decreasing volumes from the main central sphere, The QM and QFT can be modeled with the symmetries and transformations, .
The parity and groups of rotations for the flippings are relevant with the spatial coordinates , The operators of parity becomes relevant in spatial variables. The all possible rotations groups in e dimensional space are relevant also when linked with the spherical harmoniscs and angular monemtum operators,
The waves function now and the hilbert space taken into account, we have the possibilities to encode the probabilities of amplitudes and play with the spherical volumes and the flipping and the stabilities of systems. The fourier transformations for the positions and momemtum are relavant to analyse,
If now we consider the spherical volumes and these series primordial of uniqueness, , so we have roads for the primordial quantum states and the initial even conditions of the universe, This CMD even is interesting for this analysis in details and the fluctuations.
This Hilbert space is relevany in this reasoning for the mathematial framewor of the QM because the infinite dimensional space and euclidian space can be correlated for the quantum states, that is why the vectors, tensors, scalars with the idea of 3 main system, DE, DM photons fusioning beome a kind of universal key.
These Lie groups so are important and the spherical topol geomt algebras for the symmetries and conservation laws, The lorentz transformations , rotations and gauge symmetries being considered, see the relevance for the QM and QFT. The conserved quantities are made with the Noether theorem.
Now for thois DE encoding the 2 others, we can consider scalar fields or other roads and link with the cosmologial constant and EFE . The hidden variables are intriguing for this QM but also about a kind of new infornmational theory of spaetime adding this to the GR.
So the extradimenison in these spherical geometrical topological algebras become intriguing if we conmpute and extrapolate the possibilities with different partitions and spherical volumes and their motions, oscillations.....
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Here is an actual, new way to understand the quantum world:
(https://uploads.disquscdn.com/images/4082f51c163078c92e1856c3abae82d34cf42849f07a5261be40afb074af9aee.png)