One that really caught my eye was:

“The first discovery was that applying operations to the qubits did not conserve quantum information — a behavior so fundamental to standard quantum theory that it results in currently unsolved problems like Stephen Hawking’s Black Hole Information paradox.”

I’ve long been suspicious of the idea that quantum systems conserve information. Unlike conservation of energy or other physical properties, there doesn’t seem to be an associated symmetry underlying the notion of conservation of information. It’s been more an assertion of QM based on the use of unitary operators.

I’ve never fully accepted that it’s a required truth, and these results suggest it might not be.

See: New Physics Rules Tested by Using a Quantum Computer to Create a “Toy-Universe”

]]>This becomes especially important in quantum computing, as QC operations (“quantum gates”) are all represented as matrices.

Interested readers should try for themselves the various multiplication examples I showed using the by-hand technique. Create some matrices with random values and practice multiplying them.

]]>But I wish my penmanship was better. 😦

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