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Certified deletion is a protocol which allows two parties to share information, from Alice to Bob, in such a way that if Bob chooses to delete the information, he can prove to Alice that the deletion has taken place by providing a…

Quantum Physics · Physics 2023-04-10 Felix Hufnagel , Anne Broadbent , Ebrahim Karimi

Given a ciphertext, is it possible to prove the deletion of the underlying plaintext? Since classical ciphertexts can be copied, clearly such a feat is impossible using classical information alone. In stark contrast to this, we show that…

Quantum Physics · Physics 2021-01-20 Anne Broadbent , Rabib Islam

A non-interactive ZK (NIZK) proof enables verification of NP statements without revealing secrets about them. However, an adversary that obtains a NIZK proof may be able to clone this proof and distribute arbitrarily many copies of it to…

Cryptography and Security · Computer Science 2024-09-25 Ruta Jawale , Dakshita Khurana

We propose a new, unifying framework that yields an array of cryptographic primitives with certified deletion. These primitives enable a party in possession of a quantum ciphertext to generate a classical certificate that the encrypted…

Quantum Physics · Physics 2023-04-21 James Bartusek , Dakshita Khurana

Suppose we are given two identical copies of an unknown quantum state and we wish to delete one copy from among the given two copies. The quantum no-deletion principle restricts us from perfectly deleting a copy but it does not prohibit us…

Quantum Physics · Physics 2009-11-11 Satyabrata Adhikari

(Sender-)Deniable encryption provides a very strong privacy guarantee: a sender who is coerced by an attacker into "opening" their ciphertext after-the-fact is able to generate "fake" local random choices that are consistent with any…

Quantum Physics · Physics 2025-04-28 Andrea Coladangelo , Shafi Goldwasser , Umesh Vazirani

In classical cryptography, certified deletion is simply impossible. Since classical information can be copied any number of times easily. In quantum cryptography, certified deletion is possible because of theorems of quantum mechanics such…

Cryptography and Security · Computer Science 2025-03-04 Xiaogang Cheng , Ren Guo

Quantum information has the property that measurement is an inherently destructive process. This feature is most apparent in the principle of complementarity, which states that mutually incompatible observables cannot be measured at the…

Quantum Physics · Physics 2023-01-10 Alexander Poremba

We study non-interactive zero-knowledge proofs (NIZKs) for NP satisfying: 1) statistical soundness, 2) computational zero-knowledge and 3) certified-everlasting zero-knowledge (CE-ZK). The CE-ZK property allows a verifier of a quantum proof…

Quantum Physics · Physics 2026-02-13 Nikhil Pappu

Certified deletion ensures that encrypted data can be irreversibly deleted, preventing future recovery even if decryption keys are later exposed. Although existing works have achieved certified deletion across various cryptographic…

Cryptography and Security · Computer Science 2026-03-10 Shayeef Murshid , Ramprasad Sarkar , Mriganka Mandal

Broadbent and Islam (TCC '20) proposed a quantum cryptographic primitive called quantum encryption with certified deletion. In this primitive, a receiver in possession of a quantum ciphertext can generate a classical certificate that the…

Quantum Physics · Physics 2022-01-11 Taiga Hiroka , Tomoyuki Morimae , Ryo Nishimaki , Takashi Yamakawa

Traceable signatures (Kiayas et al., EUROCRYPT 2004) is an anonymous digital signature system that extends the tracing power of the opening authority in group signatures. There are many known constructions of traceable signatures, but all…

Cryptography and Security · Computer Science 2025-10-29 Nam Tran , Khoa Nguyen , Dongxi Liu , Josef Pieprzyk , Willy Susilo

Cryptography with quantum states exhibits a number of surprising and counterintuitive features. In a 2002 work, Barnum et al. argue that these features imply that digital signatures for quantum states are impossible (Barnum et al., FOCS…

Quantum Physics · Physics 2021-12-22 Gorjan Alagic , Tommaso Gagliardoni , Christian Majenz

Unmeasureability of a quantum state has important consequences in practical implementation of quantum computers. Like copying, deleting of an unknown state from among several copies is prohibited. This is called no-deletion prinicple. Here,…

Quantum Physics · Physics 2007-05-23 Arun K. Pati , Samuel L. Braunstein

Secret sharing allows a user to split a secret into many shares so that the secret can be recovered if, and only if, an authorized set of shares is collected. Although secret sharing typically does not require any computational hardness…

Cryptography and Security · Computer Science 2024-05-15 James Bartusek , Justin Raizes

In known constructions of classical zero-knowledge protocols for NP, either of zero-knowledge or soundness holds only against computationally bounded adversaries. Indeed, achieving both statistical zero-knowledge and statistical soundness…

Quantum Physics · Physics 2022-10-11 Taiga Hiroka , Tomoyuki Morimae , Ryo Nishimaki , Takashi Yamakawa

Certified deletion allows Alice to outsource data to Bob and, at a later time, obtain a verifiable guarantee that the file has been irreversibly deleted at her request. The functionality, while impossible using classical information alone,…

Cryptography and Security · Computer Science 2026-01-21 Kunal Dey , Reihaneh Safavi-Naini

Strongly unforgeable signature schemes provide a more stringent security guarantee than the standard existential unforgeability. It requires that not only forging a signature on a new message is hard, it is infeasible as well to produce a…

Quantum Physics · Physics 2015-09-11 Edward Eaton , Fang Song

One of the fundamental restrictions that quantum mechanics imposes is the "No deletion Theorem" which tells us that given two identical unknown quantum states, it is impossible to delete one of them. But nevertheless if not perfect, people…

Quantum Physics · Physics 2023-03-14 Aditya Jain , Indranil Chakrabarty

An alternative kind of deleting/erasing operation is introduced which differs from the commonly used {\it controlled-not} (C-not) conditional logical operation $-$to flip to a standard, `zero' value the (classical or quantum) state of the…

Quantum Physics · Physics 2007-05-23 E. Elizalde
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