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We discuss protocols for quantum position verification schemes based on the standard quantum cryptographic assumption that a tagging device can keep classical data secure [Kent, 2011]. Our schemes use a classical key replenished by quantum…

Quantum Physics · Physics 2023-11-14 George Cowperthwaite , Adrian Kent , Damian Pitalua-Garcia

We study a longstanding question of Aaronson and Kuperberg on whether there exists a classical oracle separating $\mathsf{QMA}$ from $\mathsf{QCMA}$. Settling this question in either direction would yield insight into the power of quantum…

Quantum Physics · Physics 2025-01-08 Jiahui Liu , Saachi Mutreja , Henry Yuen

A proof of quantumness (PoQ) allows a classical verifier to efficiently test if a quantum machine is performing a computation that is infeasible for any classical machine. In this work, we propose a new approach for constructing PoQ…

Quantum Physics · Physics 2025-06-02 Giulio Malavolta , Tamer Mour

The Learning-With-Errors (LWE) problem is a fundamental computational challenge with implications for post-quantum cryptography and computational learning theory. Here we propose a quantum-classical hybrid algorithm with Ising model to…

We generalize quantum-classical PCPs, first introduced by Weggemans, Folkertsma and Cade (TQC 2024), to allow for $q$ quantum queries to a polynomially-sized classical proof ($\mathsf{QCPCP}_{Q,c,s}[q]$). Exploiting a connection with the…

Quantum Physics · Physics 2024-11-05 Harry Buhrman , François Le Gall , Jordi Weggemans

Large-scale quantum computing is a significant threat to classical public-key cryptography. In strong "quantum access" security models, numerous symmetric-key cryptosystems are also vulnerable. We consider classical encryption in a model…

Quantum Physics · Physics 2021-05-14 Gorjan Alagic , Stacey Jeffery , Maris Ozols , Alexander Poremba

The Learning with Errors (LWE) problem is the fundamental backbone of modern lattice based cryptography, allowing one to establish cryptography on the hardness of well-studied computational problems. However, schemes based on LWE are often…

Information Theory · Computer Science 2020-08-06 Charles Grover , Cong Ling , Roope Vehkalahti

We prove that it is impossible to construct perfect-complete quantum public-key encryption (QPKE) with classical keys from quantumly secure one-way functions (OWFs) in a black-box manner, resolving a long-standing open question in quantum…

Quantum Physics · Physics 2025-04-09 Longcheng Li , Qian Li , Xingjian Li , Qipeng Liu

We define the notion of a proof of knowledge in the setting where the verifier is classical, but the prover is quantum, and where the witness that the prover holds is in general a quantum state. We establish simple properties of our…

Quantum Physics · Physics 2021-01-20 Thomas Vidick , Tina Zhang

The classical channel remote state preparation (ccRSP) is an important two-party primitive in quantum cryptography. Alice (classical polynomial-time) and Bob (quantum polynomial-time) exchange polynomial rounds of classical messages, and…

Quantum Physics · Physics 2020-09-02 Tomoyuki Morimae , Yuki Takeuchi

Quantum mechanical effects have enabled the construction of cryptographic primitives that are impossible classically. For example, quantum copy-protection allows for a program to be encoded in a quantum state in such a way that the program…

Quantum Physics · Physics 2022-09-07 Alexandru Gheorghiu , Tony Metger , Alexander Poremba

When the 4-state or the 6-state protocol of quantum cryptography is carried out on a noisy (i.e. realistic) quantum channel, then the raw key has to be processed to reduce the information of an adversary Eve down to an arbitrarily low…

Quantum Physics · Physics 2009-01-23 N. Gisin , S. Wolf

Learning with Errors is one of the fundamental problems in computational learning theory and has in the last years become the cornerstone of post-quantum cryptography. In this work, we study the quantum sample complexity of Learning with…

Quantum Physics · Physics 2019-03-27 Alex B. Grilo , Iordanis Kerenidis , Timo Zijlstra

Authentication provides the trust people need to engage in transactions. The advent of physical keys that are impossible to copy promises to revolutionize this field. Up to now, such keys have been verified by classical challenge-response…

We show that a simple eavesdropper listening in on classical communication between potentially entangled quantum parties will eventually be able to impersonate any of the parties. Furthermore, the attack is efficient if one-way puzzles do…

Quantum Physics · Physics 2026-01-06 Luowen Qian , Mark Zhandry

Quantum homomorphic encryption (QHE) is an encryption method that allows quantum computation to be performed on one party's private data with the program provided by another party, without revealing much information about the data nor the…

We present a classical interactive protocol that verifies the validity of a quantum witness state for the local Hamiltonian problem. It follows from this protocol that approximating the non-local value of a multi-player one-round game to…

Quantum Physics · Physics 2015-05-28 Zhengfeng Ji

We consider the problem of testing and learning from data in the presence of resource constraints, such as limited memory or weak data access, which place limitations on the efficiency and feasibility of testing or learning. In particular,…

Quantum Physics · Physics 2025-07-22 Matthias C. Caro , Jens Eisert , Marcel Hinsche , Marios Ioannou , Alexander Nietner , Ryan Sweke

It is well-known that digital signatures can be constructed from one-way functions in a black-box way. While one-way functions are essentially the minimal assumption in classical cryptography, this is not the case in the quantum setting. A…

Quantum Physics · Physics 2024-02-14 Andrea Coladangelo , Saachi Mutreja

We give a simple proof that it is impossible to guarantee the classicality of inputs into any mistrustful quantum cryptographic protocol. The argument illuminates the impossibility of unconditionally secure quantum implementations of…

Quantum Physics · Physics 2012-04-17 Adrian Kent