The AI & Quantum Computing Chronicle
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This channel covers Artificial Intelligence, Data Science, Machine Learning & Quantum Computing to help you extract valuable information through our posts.

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Transformers quickly became the front-runner for applications like word recognition that focus on analyzing and predicting text. It led to a wave of tools, like OpenAI’s Generative Pre-trained Transformer 3 (GPT-3), which trains on hundreds of billions of words and generates consistent new text to an unsettling degree. https://bit.ly/3QyzyeM
The basic idea of a quantum financial system is to allow for a broader application of cryptology and blockchain technology. Decentralized nodes would facilitate the process of completing transactions in the network, and quantum computing would be used for encryption purposes. https://bit.ly/3QAG0lz
PCPs (probabilistically checkable proof) have become some of the most important tools in theoretical computer science. Recently, they’ve even found their way into practical applications, such as in cryptocurrencies, where they are used for rolling up large batches of transactions into a smaller form that is easier to verify. https://bit.ly/3RjnJt9
Training a quantum neural network requires only a small amount of data, according to a new proof that upends previous assumptions stemming from classical computing’s huge appetite for data in machine learning, or artificial intelligence. The theorem has several direct applications, including more efficient compiling for quantum computers and distinguishing phases of matter for materials discovery. https://bit.ly/3TBcoGR
The term “entropy” is borrowed from physics, where entropy is a measure of disorder. A cloud has higher entropy than an ice cube, since a cloud allows for many more ways to arrange water molecules than a cube’s crystalline structure does. In an analogous way, a random message has a high Shannon entropy — there are so many possibilities for how its information can be arranged — whereas one that obeys a strict pattern has low entropy. https://bit.ly/3TQapyh
“While classic computing methods artificially create these hidden node models, they can be built naturally with qubits. The fundamental entanglement associated with backpropagation, a mathematical tool for improving the accuracy of predictions made by a machine learning model, can be computed much faster with qubits. This means training neural networks on quantum computers can be orders of magnitude faster.”

“Another space is nonstructured database searches, for which there is an ever-increasing set of problems that will exist as the internetworking of global computation creates massive amounts of data. While classical computers do an excellent job of searching through structured data, searches through unstructured data are much less efficient. Lov Grover, an Indian-American computer scientist, developed a quantum algorithm that can guarantee a dramatic speedup in searches. On small data sets, a speedup is not significant, but on large volumes of data, the practical speedups are significant.” https://bit.ly/3RTCvYl
A common approach for detecting outliers using descriptive statistics is the use of interquartile ranges (IQRs). This method works by analyzing the points that fall within a range specified by quartiles, where quartiles are four equally divided parts of the data. Although IQR works well for data containing a single shape or pattern, it is not able to distinguish different types of shapes or groups of data points within a data set.
Fortunately, clustering techniques address the limitations of IQR by effectively separating samples into different shapes. A commonly used clustering method for outlier detection is DBSCAN, which is an unsupervised clustering method that addresses many of the limitations of IQR….. https://bit.ly/3SNuILx
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Tensor networks can help to alleviate the complexity of representing quantum states and operations by exploiting redundancies in the topological structure of the quantum circuit – instead of the vectors/ matrices. To translate a quantum circuit into a tensor network, each object, be it a state or an operation, is represented by a multi-dimensional array of complex numbers – a tensor. For a circuit, tensors are connected to other tensors according to the underlying quantum circuit. https://bit.ly/3fXlluR
Though hype may suggest otherwise, quantum computers aren’t all-powerful computational devices capable of solving intractable problems like the halting problem. Rather, they’re processors built on an architecture that we hope will allow them to do anything a classical computer can do, with extra capabilities or increased performance for some problems afforded by their quantum nature. https://bit.ly/3gm9eHM
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“But unlike classical bits, qubits are extremely fragile. The physical objects that represent classical bits are made up of semiconductors. You can drop them on a table and they would still work fine. But if you so much as bumped against a table on which there is a functional qubit, it will break. Qubits are even affected by seemingly insignificant disturbances like stray electromagnetic waves, vibrations, temperature fluctuations and possibly cosmic rays.” https://tinyurl.com/5bzkfzdx
“Symplectic geometry is more complicated. Here, the answer depends on the ellipsoid’s “eccentricity,” a number that represents how elongated it is. A long, thin shape with a high eccentricity can be easily folded into a more compact shape, like a snake coiling up. When the eccentricity is low, things are less simple.” https://bit.ly/3DNw8B8
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"In this article, it have discussed three waves of quantum machine learning, each harnessing a particular aspect of quantum computers and targeting particular problems. The first scrutinizes the power of quantum computers to work with high-dimensional data and speed-up algebra, but raises the caveat of input/output due to the quantum measurement rules. The second domain circumvents this problem by using a hybrid architecture, performing optimization on a classical computer while evaluating parameterized states on a quantum circuit, chosen based on a particular problem. Finally, the third domain is inspired by brain-like computation and uses the natural interaction and unitary dynamic of a given quantum system as a source for learning." shorturl.at/ackU5
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“One of the key obstacles to accurate quantum simulations is noise—random errors in both the switching of the “gates” that perform quantum logic operations and in the reading of their output states. These errors accumulate and restrict the number of gate operations a computation can enact before the noise dominates. The researchers found that simulations with more than 300 gates were overwhelmed by noise. But the more complex the system, the more gates are needed.” shorturl.at/kpLPW
"But a century ago, the pioneers of quantum mechanics made a surprising discovery — one that elevated unitarity from common sense to a hallowed principle. The surprise was that, mathematically, the quantum world operates not by probabilities but by more complicated numbers known as amplitudes. An amplitude is essentially the degree to which a particle is in a certain state; it can be a positive, negative or imaginary number. To calculate the probability of actually observing a particle in a certain state, physicists square the amplitude (or, if the amplitude is an imaginary number, they square its absolute value), which gets rid of the imaginary and negative bits and produces a positive probability. Unitarity says the sum of these probabilities (really, the squares of all the amplitudes) must equal 1." https://bit.ly/3gF70DT
“It can be easy to take math for granted. But the field has evolved over millennia, and concepts that seem obvious today had to be invented. Although zero is the beginning of counting, it arrived late to the math party. But not as late as its counterpart, infinity. Four thought experiments featured in NOVA’s “Zero to Infinity” illustrate how people used the world around them to explore these revolutionary concepts.” https://to.pbs.org/3XSqS78
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Experimental Entropy Analysis Over Quantum NN´s & IRL Agent (Lab1-Exp3).

In this experiment we focus on one of the properties of information that says that as the amount of available information increases, uncertainty decreases. To increase the amount of information available in our scenario we are going to use the LZC algorithm. The reward function is built from the behavior of the market using different synthetic signals (i.e. Quantum Signal) to establish policies and be able to act "optimally".

Link Dashboard-> https://bit.ly/3UD2ynb

4 Highlights from IRL Agent (Datasets until 26/Nov/2022):
-Detect High Volatility (Last 4 Weeks)
-The relation skewness & Average Price is very low
-The probability of transition to the 26K-38K price bins is below 0.07
-Buy probability is below 0.08

*Comments: Recall this CloudLab its just only for experimental purpose, the main objective is not to give a financial advice but give some experimental perspectives.

*Report: Next experiment Nov/2023 (Lab1-Exp4)
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Let’s finish the year on a light note: chocolate consumption and Nobel laureates correlation - https://www.sciencedirect.com/science/article/pii/S2590291120300711
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