[PDF][PDF] A one-query lower bound for unitary synthesis and breaking quantum cryptography
A Lombardi, F Ma, J Wright - Proceedings of the 56th Annual ACM …, 2024 - dl.acm.org
The Unitary Synthesis Problem (Aaronson-Kuperberg 2007) asks whether any n-qubit
unitary U can be implemented by an efficient quantum algorithm A augmented with an …
unitary U can be implemented by an efficient quantum algorithm A augmented with an …
Catalytic Transformation from Computationally Universal to Strictly Universal Measurement-Based Quantum Computation
Y Takeuchi - Physical Review Letters, 2024 - APS
There are two types of universality in measurement-based quantum computation (MBQC):
strict and computational. It is well known that the former is stronger than the latter. We …
strict and computational. It is well known that the former is stronger than the latter. We …
Efficient Quantum State Synthesis with One Query
G Rosenthal - Proceedings of the 2024 Annual ACM-SIAM …, 2024 - SIAM
We present a polynomial-time quantum algorithm making a single query (in superposition)
to a classical oracle, such that for every state| ψ〉 there exists a choice of oracle that makes …
to a classical oracle, such that for every state| ψ〉 there exists a choice of oracle that makes …
Space-bounded quantum state testing via space-efficient quantum singular value transformation
Driven by exploring the power of quantum computation with a limited number of qubits, we
present a novel complete characterization for space-bounded quantum computation, which …
present a novel complete characterization for space-bounded quantum computation, which …
Oblivious Transfer from Zero-Knowledge Proofs: Or How to Achieve Round-Optimal Quantum Oblivious Transfer and Zero-Knowledge Proofs on Quantum States
We provide a generic construction to turn any classical Zero-Knowledge (ZK) protocol into a
composable (quantum) oblivious transfer (OT) protocol, mostly lifting the round-complexity …
composable (quantum) oblivious transfer (OT) protocol, mostly lifting the round-complexity …
Distributed Merlin-Arthur Synthesis of Quantum States and Its Applications
F Le Gall, M Miyamoto… - … Foundations of Computer …, 2023 - drops.dagstuhl.de
The generation and verification of quantum states are fundamental tasks for quantum
information processing that have recently been investigated by Irani, Natarajan, Nirkhe, Rao …
information processing that have recently been investigated by Irani, Natarajan, Nirkhe, Rao …
Quantum Merlin-Arthur proof systems for synthesizing quantum states
Complexity theory typically focuses on the difficulty of solving computational problems using
classical inputs and outputs, even with a quantum computer. In the quantum world, it is …
classical inputs and outputs, even with a quantum computer. In the quantum world, it is …
Many-time physics in practice: characterising and controlling non-Markovian quantum stochastic processes
GAL White - arXiv preprint arXiv:2405.05416, 2024 - arxiv.org
Every year, substantial theoretical and experimental progress is made towards the
realisation of a genuinely new computational paradigm in the construction of a quantum …
realisation of a genuinely new computational paradigm in the construction of a quantum …
Quantum State and Unitary Complexity
G Rosenthal - 2023 - search.proquest.com
Many natural problems in quantum computing involve constructing a quantum state or
implementing a unitary transformation. However, relatively little is known about the …
implementing a unitary transformation. However, relatively little is known about the …
Quantum State Synthesis: Relation with Decision Complexity Classes and Impossibility of Synthesis Error Reduction
H Delavenne, FL Gall - arXiv preprint arXiv:2407.02907, 2024 - arxiv.org
This work investigates the relationships between quantum state synthesis complexity
classes (a recent concept in computational complexity that focuses on the complexity of …
classes (a recent concept in computational complexity that focuses on the complexity of …