672 citations
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19 papers · 2 filters
Adaptive quantum phase estimation can be better than non-adaptive
Noah Linden, Ronald de Wolf
Quantum phase estimation is one of the most important tools in quantum algorithms. It can be made non-adaptive (meaning all applications of the unitary happen simultaneously)…
Clifford testing: algorithms and lower bounds
Marcel Hinsche, Zongbo Bao, Philippe van Dordrecht +3
We consider the problem of Clifford testing, which asks whether a black-box -qubit unitary is a Clifford unitary or at least -far from every Clifford unitary. We gi…
Optimal Displacement Sensing with Spin-Dependent Squeezed States
Liam J. Bond, Christophe H. Valahu, Athreya Shankar +2
Displacement sensing is a fundamental task in metrology. However, the development of quantum-enhanced sensors that fully utilize the available degrees of freedom in many-body quant…
Anticoncentration is (almost) all you need
Markus Heinrich, Jonas Haferkamp, Ingo Roth +1
Until very recently, it was generally believed that the (approximate) 2-design property is strictly stronger than anticoncentration of random quantum circuits, mainly because it wa…
On Limits on the Provable Consequences of Quantum Pseudorandomness
Samuel Bouaziz--Ermann, Minki Hhan, Garazi Muguruza +1
There are various notions of quantum pseudorandomness, such as pseudorandom unitaries (PRUs), pseudorandom state generators (PRSGs), pseudorandom function-like state generators (PR…
Computational Monogamy of Entanglement and Non-Interactive Quantum Key Distribution
Alex B. Grilo, Giulio Malavolta, Michael Walter +1
Quantum key distribution (QKD) enables Alice and Bob to exchange a secret key over a public, untrusted quantum channel. Compared to classical key exchange, QKD achieves everlasting…