Randomizing quantum states: Constructions and applications

نویسندگان

  • Patrick Hayden
  • Debbie Leung
  • Peter W. Shor
چکیده

Patrick Hayden,1, 2, ∗ Debbie Leung,1, 2, † Peter W. Shor,3, ‡ and Andreas Winter4, 2, § Institute for Quantum Information, Caltech 107–81, Pasadena, CA 91125, USA Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, CA 94720, USA AT & T Labs Research, Florham Park, NJ 07922, USA Department of Computer Science, University of Bristol, Merchant Venturers Building, Woodland Road, Bristol BS8 1UB, United Kingdom (Dated: May 30, 2006)

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Pseudorandom States, Non-Cloning Theorems and Quantum Money

We propose the concept of pseudorandom states and study their constructions, properties, and applications. Under the assumption that quantum-secure one-way functions exist, we present concrete and efficient constructions of pseudorandom states. The non-cloning theorem plays a central role in our study—it motivates the proper definition and characterizes one of the important properties of pseudo...

متن کامل

Perfect Constant-Round Secure Computation via Perfect Randomizing Polynomials

Various information-theoretic constant-round secure multiparty protocols are known for classes such as NC and polynomial-size branching programs [1, 13, 18, 3, 19, 10]. All these protocols have a small probability of failure, or alternatively use an expected constant number of rounds, suggesting that this might be an inherent phenomenon. In the current paper we prove that this is not the case b...

متن کامل

Approximate Randomization of Quantum States With Fewer Bits of Key

Randomization of quantum states is the quantum analogue of the classical one-time pad. We present an improved, efficient construction of an approximately randomizing map that uses O(d/ ) Pauli operators to map any d-dimensional state to a state that is within trace distance of the completely mixed state. Our bound is a log d factor smaller than that of Hayden, Leung, Shor, and Winter [7], and A...

متن کامل

Decoherence effects on quantum Fisher information of multi-qubit W states

Quantum fisher information of a parameter characterizing the sensitivity of a state with respect to parameter changes. In this paper, we study the quantum fisher information of the W state for four, five, six and seven particles in decoherence channels, such as amplitude damping, phase damping and depolarizing channel. Using Krauss operators for decoherence channels components, we investigate t...

متن کامل

Energy states and exchange energy of coupled double quantum dot in a magnetic field

The ground state energies of two interacting electrons confined in a coupled double quantum dot (DQD) presented in a magnetic field has been calculated by solving the relative Hamiltonian using variational and exact diagonalization methods. The singlet-triplet transitions in the angular momentum and spin of the quantum dot ground state had been shown .We have studied the magnetic field versus c...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004