All Questions
Tagged with quantum-computer adiabatic
14 questions
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Bit structure in Adiabatic Quantum Computing [closed]
https://arxiv.org/pdf/quant-ph/0007071.pdf
In Chapter 6 in the paper "A Numerical Study of the Performance of a Quantum Adiabatic Evolution Algorithm for Satisfiability”, by Edward Farhi, Jeffrey ...
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When applying the adiabatic theorem, why doesn't the gap become doubly exponentially small generically?
Suppose we have a parameterised family of Hamiltonians $H(s)$, $s\in [0,1]$, acting on $n$ spins/qubits. When applying the adiabatic theorem, it is well known that if we wish to remain in the ground ...
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Final Hamiltonian for Adiabatic Grover
X-Posted on Quantum-Computing Stack Exchange
In quantum computation, there is a famous algorithm to search a marked item in an unstructured database called Grover's algorithm. It achieves a quadratic ...
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What are the units of time in the Quantum Adiabatic Theorem?
To preface my question, I'm coming to adiabatic quantum computing from a background in classical computer science with little knowledge of quantum physics, so simple, step-by-step explanations or ...
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Does adiabatic quantum computation require the initial and final ground states to be non-orthogonal?
Background
At a recent talk, I was told by the speaker that it is not possible to adiabatically transfer from one ground state $|\psi_0 \rangle$ to another $|\psi_1 \rangle$ if these states are ...
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Difference Between Adiabatic and Superconducting Quantum Computing
Wikipedia (not the most stringent source, I know) has separate pages for adiabatic and superconducting quantum computing. It's my understanding that all superconducting quantum computers are adiabatic ...
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Adiabatic Quantum Computing: why not just set the system in its problem Hamiltonian $H_{P}$ immediately?
Background: In any adiabatic quantum computer (AQC) algorithm, we solve problems in the following manner: We have an initial Hamiltonian, $H_{0}$, whose ground state is easy to find, and a problem ...
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Ground states being superposition states in adiabatic quantum computation
In Adiabatic Quantum Computing, a Hamiltonian $H$ is evolved for time $T$ according to $$H(t) = (1-t/T)H_{0} + (t/T)H_{P} $$ where $H_{0}$ is an initial Hamiltonian, and the ground state of $H_{P}$ ...
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Eigenvalue of the adiabatic Hamiltonian of Farhi's three qubit 2-SAT problem
I was trying to reproduce example 3.3 of Quantum Computation by Adiabatic Evolution by Edward Farhi et. al. This is an adiabatic algorithm to solve an instance of three qubits 2-SAT problem.
I think ...
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Different forms of the Adiabatic Theorem
I've been reading several papers on Adiabatic Quantum Computation, and I am confused by the form in which the adiabatic approximation condition is presented. For example (quant-ph/0001106 eq 2.8) \...
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Adiabatic evolution for initial Hamiltonian on Hadamard basis and problem Hamiltonian as diagonal
This is spawned from a comment at the answer to one of my previous questions.
Someone suggested to me that claiming the following statement might be NP-hard. Could anyone please help me to figure out ...
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Confusion about a lemma on the time constraint of an adiabatic evolution (arXiv:quant-ph/0604077)
I am going through the paper Quantum adiabatic evolutions that can't be used to design efficient algorithms by Zhaohui Wei and Mingsheng Ying. On the second page they prove a lemma. The statement goes ...
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Adiabatic quantum Hamiltonian of variable dimension
Is adiabatic quantum Hamiltonian of variable dimension possible? This is very hypothetical and I am afraid may not have enough merit to belong to this forum. I would still like to elaborate. Here is ...
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If the ground states of interacting QFTs are so complicated, how did Nature find them?
My question was inspired by trying to understand the paper Quantum Algorithms for Quantum Field Theories, by Jordan, Lee, and Preskill. The main result of that paper is that scattering experiments in ...
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