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Oblivious transfer is a fundamental cryptographic primitive in which Bob transfers one of two bits to Alice in such a way that Bob cannot know which of the two bits Alice has learned. We present an optimal security bound for quantum…

Quantum Physics · Physics 2016-08-31 André Chailloux , Gus Gutoski , Jamie Sikora

Oblivious transfer is a fundamental primitive in cryptography. While perfect information theoretic security is impossible, quantum oblivious transfer protocols can limit the dishonest players' cheating. Finding the optimal security…

Quantum Physics · Physics 2016-03-24 André Chailloux , Iordanis Kerenidis , Jamie Sikora

Oblivious transfer is a fundamental cryptographic primitive which is useful for secure multiparty computation. There are several variants of oblivious transfer. We consider 1 out of 2 oblivious transfer, where a sender sends two bits of…

Quantum Physics · Physics 2025-11-12 David Reichmuth , Ittoop Vergheese Puthoor , Petros Wallden , Erika Andersson

It is well known that unconditionally secure bit commitment is impossible even in the quantum world. In this paper a weak variant of quantum bit commitment, introduced independently by Aharonov et al. [STOC, 2000] and Hardy and Kent [Phys.…

Quantum Physics · Physics 2007-05-23 Andreas Jakoby , Maciej Liskiewicz , Aleksander Madry

Oblivious transfer is the cryptographic primitive where Alice sends one of two bits to Bob but is oblivious to the bit received. Using quantum communication, we can build oblivious transfer protocols with security provably better than any…

Quantum Physics · Physics 2016-03-24 Jamie Sikora

A fundamental task in modern cryptography is the joint computation of a function which has two inputs, one from Alice and one from Bob, such that neither of the two can learn more about the other's input than what is implied by the value of…

Quantum Physics · Physics 2012-11-13 Harry Buhrman , Matthias Christandl , Christian Schaffner

Rabin oblivious transfer is the cryptographic task where Alice wishes to receive a bit from Bob but it may get lost with probability 1/2. In this work, we provide protocol designs which yield quantum protocols with improved security.…

Quantum Physics · Physics 2025-07-08 Erika Andersson , Akshay Bansal , James T. Peat , Jamie Sikora , Jiawei Wu

The impossibility proof of unconditionally secure quantum bit commitment is crucially dependent on the assertion that Bob is not allowed to generate probability distributions unknown to Alice. This assertion is actually not meaningful,…

Quantum Physics · Physics 2009-11-13 Chi-Yee Cheung

Unconditionally secure non-relativistic bit commitment is known to be impossible in both the classical and the quantum worlds. But when committing to a string of n bits at once, how far can we stretch the quantum limits? In this paper, we…

Quantum Physics · Physics 2008-08-18 Harry Buhrman , Matthias Christandl , Patrick Hayden , Hoi-Kwong Lo , Stephanie Wehner

Oblivious transfer (OT) is an important tool in cryptography. It serves as a subroutine to other complex procedures of both theoretical and practical significance. Common attribute of OT protocols is that one party (Alice) has to send a…

Quantum Physics · Physics 2018-01-26 Martin Plesch , Marcin Pawlowski , Matej Pivoluska

In this paper, we study the problem of the 1-of-2 string oblivious transfer (OT) between Alice and Bob in the presence of a passive eavesdropper Eve. The eavesdropper Eve is not allowed to get any information about the private data of Alice…

Information Theory · Computer Science 2022-09-07 Tianyou Pei , Wei Kang , Nan Liu

Oblivious transfer (OT) is an important cryptographic primitive. Any multi-party computation can be realised with OT as building block. XOR oblivious transfer (XOT) is a variant where the sender Alice has two bits, and a receiver Bob…

The proof of the No-Go Theorem of unconditionally secure quantum bit commitment depends on the assumption that Alice knows every detail of the protocol, including the probability distributions associated with all the random variables…

Quantum Physics · Physics 2019-04-05 Chi-Yee Cheung

It is well known that no quantum bit commitment protocol is unconditionally secure. Nonetheless, there can be non-trivial upper bounds on both Bob's probability of correctly estimating Alice's commitment and Alice's probability of…

Quantum Physics · Physics 2007-05-23 R. W. Spekkens , T. Rudolph

Unconditionally secure non-relativistic bit commitment is known to be impossible in both the classical and the quantum world. However, when committing to a string of n bits at once, how far can we stretch the quantum limits? In this letter,…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Matthias Christandl , Patrick Hayden , Hoi-Kwong Lo , Stephanie Wehner

Bit commitment is a fundamental cryptographic primitive in which Bob wishes to commit a secret bit to Alice. Perfectly secure bit commitment has been proven impossible through asynchronous exchange of classical and quantum information.…

Quantum Physics · Physics 2014-02-25 T. Lunghi , J. Kaniewski , F. Bussieres , R. Houlmann , M. Tomamichel , A. Kent , N. Gisin , S. Wehner , H. Zbinden

Oblivious transfer is a cryptographic primitive where Alice has two bits and Bob wishes to learn some function of them. Ideally, Alice should not learn Bob's desired function choice and Bob should not learn any more than what is logically…

Quantum Physics · Physics 2022-06-01 Srijita Kundu , Jamie Sikora , Ernest Y. -Z. Tan

We consider oblivious transfer between Alice and Bob in the presence of an eavesdropper Eve when there is a broadcast channel from Alice to Bob and Eve. In addition to the secrecy constraints of Alice and Bob, Eve should not learn the…

Information Theory · Computer Science 2014-04-29 Manoj Mishra , Bikash Kumar Dey , Vinod M. Prabhakaran , Suhas Diggavi

Suppose Alice wants to perform some computation that could be done quickly on a quantum computer, but she cannot do universal quantum computation. Bob can do universal quantum computation and claims he is willing to help, but Alice wants to…

Quantum Physics · Physics 2018-12-20 Andrew M. Childs

Oblivious transfer between two untrusting parties is an important primitive in cryptography. There are different variants of oblivious transfer. In Rabin oblivious transfer, the sender Alice holds a bit, and the receiver Bob either obtains…

Quantum Physics · Physics 2024-10-08 Lara Stroh , James T. Peat , Mats Kroneberg , Ittoop V. Puthoor , Erika Andersson
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