Row 4868

Row ID: 4868 | Dataset Entry | Axioma AXP Content Repository

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I just wanted to provide a very realistic but somehow not really mentioned suggestions for beginners in this subreddit that, in order to learn Quantum computing, we do need to be good at handling linear algebra with complex scalar field. Not only just knowing, be good at it.

Linear algebra is literally the alphabet of QC and quantum mechanics in general. Superposition, interference, Unitary gates, etc., all become super handy once you know linear algebra. It is highly recommended to go thoroughly over Hermitian, spectral decomposition, Unitary, basis transformation, and matrix exponentiation.

For sure, some of them can be picked up as you learn Quantum information. For example, a lot of people encounter tensor products for the first time when they learn what entanglement is(this is actually where one of the weirdest things in learning QC happens: people have difficulty in understanding tensor product, and gets confused if it's the entanglement that's difficult to understand. No, true weirdness in entanglement happens only after local measurements are accompanied and trying to interpret the result.), or direct sum when they learn angular momentum addition.

However, I think it is a very good practice to have a mastery for the basic tool and make clear what you are struggling with, since it is often the case that the difficulty comes from not being familiar with new mathematical tools or notations, not necessarily understanding the concepts themselves(It is a bit tricky claim: it is nearly impossible to understand the core concepts without understanding the math behind it. e.g. how are you going to tell the difference between classical correlation between random variables and entanglement between qubits, without involving math? It's something that pop.sci have failed for decades)

I think there's a much weaker argument like this when it comes to learning actual quantum mechanics or differential equation since not every people interested in QC is interested in implementation of quantum devices or quantum error correction. But I would like to say linear algebra is the minimum requirement.

FieldValue
text I just wanted to provide a very realistic but somehow not really mentioned suggestions for beginners in this subreddit that, in order to learn Quantum computing, we do need to be good at handling linear algebra with complex scalar field. Not only just knowing, be good at it. Linear algebra is literally the alphabet of QC and quantum mechanics in general. Superposition, interference, Unitary gates, etc., all become super handy once you know linear algebra. It is highly recommended to go thorough…
label r/quantumcomputing
dataType post
communityName r/QuantumComputing
datetime 2024-04-23
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{
  "text": "\nI just wanted to provide a very realistic but somehow not really mentioned suggestions for beginners in this subreddit that, in order to learn Quantum computing, we do need to be good at handling linear algebra with complex scalar field. Not only just knowing, be good at it.\n\nLinear algebra is literally the alphabet of QC and quantum mechanics in general. Superposition, interference, Unitary gates, etc., all become super handy once you know linear algebra. It is highly recommended to go thoroughly over Hermitian, spectral decomposition, Unitary, basis transformation, and matrix exponentiation. \n\nFor sure, some of them can be picked up as you learn Quantum information. For example, a lot of people encounter tensor products for the first time when they learn what entanglement is(this is actually where one of the weirdest things in learning QC happens: people have difficulty in understanding tensor product, and gets confused if it's the entanglement that's difficult to understand. No, true weirdness in entanglement happens only after local measurements are accompanied and trying to interpret the result.), or direct sum when they learn angular momentum addition. \n\nHowever, I think it is a very good practice to have a mastery for the basic tool and make clear what you are struggling with, since it is often the case that the difficulty comes from not being familiar with new mathematical tools or notations, not necessarily understanding the concepts themselves(It is a bit tricky claim: it is nearly impossible to understand the core concepts without understanding the math behind it. e.g. how are you going to tell the difference between classical correlation between random variables and entanglement between qubits, without involving math? It's something that pop.sci have failed for decades)\n\nI think there's a much weaker argument like this when it comes to learning actual quantum mechanics or differential equation since not every people interested in QC is interested in implementation of quantum devices or quantum error correction. But I would like to say linear algebra is the minimum requirement.\n \n",
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  "datetime": "2024-04-23",
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