For questions about schemes to prove that quantum devices can, at least in principle, be exponentially more efficient than their classical ones. Also often referred to as "quantum computational advantage" or "quantum supremacy". Typical examples are sampling problems such as boson sampling and random circuit sampling.
Questions tagged [quantum-advantage]
131 questions
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How do researchers know / prove they've achieved quantum supremacy?
I'm currently reading the book Quantum Supremacy: How the Quantum Computer Revolution Will Change Everything by Michio Kaku, and I came upon the following sentence:
Soon after Google made its claim of achieving quantum supremacy, the Chinese…
raddevus
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Quantum advantage without phase?
I'm wondering if one can (potentially) get any quantum advantage with $R_y$ single-qubit rotations and $CNOT$s only?
(Note that I don't care about having a universal quantum computer.)
mavzolej
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Are there problems where quantum computers are faster (in practice!) than classical ones?
Today's Quanta Magazine article says "But it’s proved difficult to find examples of any algorithms with a clear “quantum advantage” that enables performance beyond the reach of classical machines."
Does factoring integers to break public key…
Martin C. Martin
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What is the reason for the exponential speed-up of quantum computers?
In quantum computers the following two effects should be seen:
If an operator acts on an arbitrary qubit $Q_n$ of a quantum system $S$ consisting of several qubits than we get a new quantum system $S'$ where the amplitudes of all qubits have…
Christian
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How does Deutsch Oracle shows quantum supremacy?
I learnt from this lecture (at 33:20) that Deutsch Oracle is way faster on quantum computers than on classical computers. However, it seems to me that this is just due to smart structuring of input data, which is also doable on classical…
Wong Jia Hau
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What tasks are quantum computers good at that classical computers are not?
At this stage, a large number of theoretical proofs have made us vaguely aware of the particularity of quantum computers. But what tasks are quantum computers good at that classical computers are not? Are there concrete achievable cases to…
Ren-Xin Zhao
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