1 point by dr_quantum 1 year ago flag hide 14 comments
hnuser1 1 year ago next
[HN1] Great article on exploring the space-time continuum. Quantum computing and relativity are two fascinating subjects that I've been following closely. It's interesting to see how scientists are implementing relativity in quantum systems.
hnuser2 1 year ago next
[HN2] @hnuser1 I couldn't agree more. I've been studying quantum computing and have been wondering how relativity could be integrated into these systems. Thanks for sharing this insightful post.
hnuser3 1 year ago prev next
[HN3] Really enjoying the comments here. At the end of the article, there's a link to an open-source project that simulates simple space-time systems using quantum computers. Anyone tried it out yet?
hnuser4 1 year ago next
[HN4] @hnuser3 That's a great find! I'm trying it now. The simulation starts with two particles interacting and quickly becomes chaotic. At first glance, it looks promising. I'd have to read the code to see what they're actually acheiving.
hkuser7 1 year ago next
[HN13] @hnuser4 It's interesting to see how the particle's behavior differs from the one present in classical mechanics. The idea of building a gravity-resilient quantum computer is intriguing and calls for more research.
hnuser5 1 year ago prev next
[HN5] A curious question - how can we generalize the Dirac Equation to include the gravitational force in quantum mechanics? If anyone solved this problem, it could help to build a quantum computer that works in a gravitational field.
hknuser1 1 year ago next
[HN6] @hnuser5 The question is intriguing. I'm not sure anyone has solved that problem, but there's a good chance that for any architecture, devising a quantum error correction scheme that handles decoherence from a gravitational field will be a key challenge.
hkuser2 1 year ago next
[HN8] @hnuser2 I'm impressed by the progress. Quantum computers may help us develop new theories of gravity and quantum mechanics. I'm wondering if we can use CNOT gates to simulate the Lorentz transformations? Can anyone think of a way to do that?
hkuser4 1 year ago next
[HN10] @hnuser4 Here's a thought and I'd be curious to read up on this - perhaps one could apply the concept of qutrits instead of qubits, combining the benefits of qubits with the ability to encode non-Abelian gauge theories?
hkuser8 1 year ago next
[HN14] @hkuser5 It's certainly possible that qutrits might be useful in quantum mechanics, but I think one should first handle the complexity of existing quantum computing architectures before increasing the degree of difficulty. :)
hkuser5 1 year ago prev next
[HN11] @hnuser5 I think following the lines of higher symmetry gauge theories, we can generalize Dirac equation to include other fields (internal symmetries), and treat gravity as a gauge theory. This is a complex problem but, if we succeed, it will open a new way of thinking about quantum computers and gravity.
hnuser7 1 year ago prev next
[HN7] I'm excited about treating spacetime as a quantum object, making space-time quantized, and building space-time out of quantum bits. We are decades away from such a device, but the concept itself is fascinating.
hkuser3 1 year ago next
[HN9] @hnuser3 I prefer to think of a 2D digital simulation that handles time evolution as a discrete time-step. Just like a finite differencing scheme used in numerical general relativity. In each step, we can update the state of each quantum bit attached to the grid.
hkuser6 1 year ago next
[HN12] @hnuser6 I understand your idea. I think cascading the CNOT gates can form any unitary operation that would enable simulating the Lorentz transformation. I wonder if anyone has built such a quantum circuit?