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20022026
most citedThe Future is Big Graphs! A Community View on Graph Processing Systems

157 citations

Showing quant-phShow all

16 papers · 1 filter

quant-ph2025

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…

quant-ph2025★ 2 cited

Phase estimation with partially randomized time evolution

Jakob Günther, Freek Witteveen, Alexander Schmidhuber +3

Quantum phase estimation combined with Hamiltonian simulation is the most promising algorithmic framework to computing ground state energies on quantum computers. Its main computat…

quant-ph2025

Provable and Verifiable Quantum Advantage in Sample Complexity

Marcello Benedetti, Harry Buhrman, Jordi Weggemans

Consider a fixed universe of elements and the uniform distribution over elements of some subset of size . Given samples from this distribution, the task of complement sa…

quant-ph2024★ 4 cited

Solving Free Fermion Problems on a Quantum Computer

Maarten Stroeks, Daan Lenterman, Barbara Terhal +1

Simulating noninteracting fermion systems is a common task in computational many-body physics. In absence of translational symmetries, modeling free fermions on modes usually r…

quant-ph2024★ 1 cited

Distinguishing Graph States by the Properties of Their Marginals

Lina Vandré, Jarn de Jong, Frederik Hahn +3

Graph states are a class of multi-partite entangled quantum states that are ubiquitous in quantum information. We study equivalence relations between graph states under local unita…

quant-ph2024★ 14 cited

Efficient learning of quantum states prepared with few fermionic non-Gaussian gates

Antonio Anna Mele, Yaroslav Herasymenko

The experimental realization of increasingly complex quantum states underscores the pressing need for new methods of state learning and verification. In one such framework, quantum…

quant-ph2023★ 10 cited

Global Variational Quantum Circuits for Arbitrary Symmetric State Preparation

Liam J. Bond, Matthew J. Davis, Jiří Minář +3

Quantum states that are symmetric under particle exchange play a crucial role in fields such as quantum metrology and quantum error correction. We use a variational circuit compose…

quant-ph2008★ 3 cited

Robust Cryptography in the Noisy-Quantum-Storage Model

Christian Schaffner, Barbara Terhal, Stephanie Wehner

It was shown in [WST08] that cryptographic primitives can be implemented based on the assumption that quantum storage of qubits is noisy. In this work we analyze a protocol for the…

quant-ph2008

Locally Decodable Quantum Codes

Jop Briët, Ronald de Wolf

We study a quantum analogue of locally decodable error-correcting codes. A q-query locally decodable quantum code encodes n classical bits in an m-qubit state, in such a way that e…

quant-ph2008★ 3 cited

The quantum moment problem and bounds on entangled multi-prover games

Andrew C. Doherty, Yeong-Cherng Liang, Ben Toner +1

We study the quantum moment problem: Given a conditional probability distribution together with some polynomial constraints, does there exist a quantum state rho and a collection o…

quant-ph2006★ 9 cited

New Limits on Fault-Tolerant Quantum Computation

Harry Buhrman, Richard Cleve, Monique Laurent +3

We show that quantum circuits cannot be made fault-tolerant against a depolarizing noise level of approximately 45%, thereby improving on a previous bound of 50% (due to Razborov).…

quant-ph2005★ 18 cited

Quantum Algorithms for Matching and Network Flows

Andris Ambainis, Robert Spalek

We present quantum algorithms for the following graph problems: finding a maximal bipartite matching in time O(n sqrt{m+n} log n), finding a maximal non-bipartite matching in time…

quant-ph2005★ 13 cited

Tight adversary bounds for composite functions

Peter Hoyer, Troy Lee, Robert Spalek

The quantum adversary method is a versatile method for proving lower bounds on quantum algorithms. It yields tight bounds for many computational problems, is robust in having many…

quant-ph2004★ 6 cited

All Quantum Adversary Methods are Equivalent

Robert Spalek, Mario Szegedy

The quantum adversary method is one of the most versatile lower-bound methods for quantum algorithms. We show that all known variants of this method are equivalent: spectral advers…

quant-ph2004★ 1 cited

Quantum and Classical Strong Direct Product Theorems and Optimal Time-Space Tradeoffs

Hartmut Klauck, Robert Spalek, Ronald de Wolf

A strong direct product theorem says that if we want to compute k independent instances of a function, using less than k times the resources needed for one instance, then our overa…

quant-ph2003

Robust Polynomials and Quantum Algorithms

Harry Buhrman, Ilan Newman, Hein Roehrig +1

We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We co…