By Phillip Kaye, Raymond Laflamme, Michele Mosca

ISBN-10: 0198570007

ISBN-13: 9780198570004

This concise, obtainable textual content offers a radical creation to quantum computing - a thrilling emergent box on the interface of the pc, engineering, mathematical and actual sciences. aimed toward complex undergraduate and starting graduate scholars in those disciplines, the textual content is technically specific and is obviously illustrated all through with diagrams and workouts. a few past wisdom of linear algebra is thought, together with vector areas and internal items. besides the fact that, earlier familiarity with themes comparable to tensor items and spectral decomposition isn't really required, because the helpful fabric is reviewed within the textual content.

**Read or Download An Introduction to Quantum Computing PDF**

**Similar cryptography books**

**Download PDF by Borko Furht, Edin Muharemagic, Daniel Socek: Multimedia Encryption and Watermarking**

Multimedia Encryption and Watermarking offers a accomplished survey of latest multimedia encryption and watermarking strategies, which permit a safe alternate of multimedia highbrow estate. half I, electronic Rights administration (DRM) for Multimedia, introduces DRM thoughts and types for multimedia content material defense, and offers the main avid gamers.

**New PDF release: The Information Security Dictionary Defining The Terms That**

Whatever for everybody If this publication is to prevail and aid readers, its cardinal advantage has to be to supply an easy reference textual content. it's going to be a vital addition to a data protection library. As such it's going to additionally serve the aim of being a short refresher for phrases the reader has no longer visible because the days whilst one attended a computing technology application, details protection direction or workshop.

**Phong Q. Nguyen, David Pointcheval's Public Key Cryptography - PKC 2010: 13th International PDF**

This publication constitutes the refereed court cases of the thirteenth foreign convention on perform and thought in Public Key Cryptography, PKC 2010, held in Paris, France, in may well 2010. The 29 revised complete papers offered have been conscientiously reviewed and chosen from a hundred forty five submissions. The papers are geared up in topical sections on encryption; cryptanalysis; protocols; community coding; instruments; elliptic curves; lossy trapdoor capabilities; discrete logarithm; and signatures.

**New PDF release: Post-Quantum Cryptography**

Quantum desktops will holiday state-of-the-art preferred public-key cryptographic structures, together with RSA, DSA, and ECDSA. This e-book introduces the reader to the following new release of cryptographic algorithms, the platforms that face up to quantum-computer assaults: specifically, post-quantum public-key encryption structures and post-quantum public-key signature structures.

- Cryptography and Coding: 10th IMA International Conference, Cirencester, UK, December 19-21, 2005. Proceedings
- Computational Algebraic Geometry [Lecture notes]
- Computational aspects of theory of elliptic curves
- System-on-Chip Architectures and Implementations for Private-Key Data Encryption
- Techniques for Data Hiding
- Quantum Memory in Quantum Cryptography [thesis]

**Additional info for An Introduction to Quantum Computing**

**Example text**

7) From this information, we can construct the matrix for the not gate (in the computational basis): 01 . 8) 10 The gate acts on the state of a qubit by matrix multiplication from the left: not|0 ≡ 01 10 1 0 = 0 1 ≡ |1 . 9) The not gate is often identiﬁed with the symbol X, and is one of the four Pauli gates: σ0 ≡ I ≡ σ2 ≡ σ y ≡ Y ≡ 10 01 σ1 ≡ σx ≡ X ≡ 01 10 0 −i i 0 σ 3 ≡ σz ≡ Z ≡ 1 0 . 10) COMPOSITE SYSTEMS 45 As we will see in Chapter 4, the Pauli gates X, Y , and Z correspond to rotations about the x-, y- and z-axes of the Bloch sphere, respectively.

That is, we would like to know how to describe the state of a closed system of n qubits, how such a state evolves TEAM LinG 46 QUBITS AND THE FRAMEWORK OF QUANTUM MECHANICS in time, and what happens when we measure it. Treating a larger system as a composition of subsystems (of bounded size) allows for an exponentially more eﬃcient description of operations acting on a small number of subsystems. 4. This brings us to our third postulate. Composition of Systems Postulate When two physical systems are treated as one combined system, the state space of the combined physical system is the tensor product space H1 ⊗ H2 of the state spaces H1 , H2 of the component subsystems.

Amn B1q ⎥ ⎢ ⎥ ⎢ ⎥ .. .. .. .. ⎣ ⎦ . . . . Am1 Bp1 . . Am1 Bpq . . . Amn Bp1 . . Amn Bpq This matrix is sometimes written more compactly in ‘block form’ as ⎤ ⎡ A11 [B] A12 [B] . . A1n [B] ⎢ A21 [B] A22 [B] . . A2n [B] ⎥ ⎥ ⎢ A⊗B =⎢ . ⎥. .. ⎦ ⎣ .. . 8) Am1 [B] Am2 [B] . . Amn [B] Here, [B] represents the p × q submatrix B. Then each block entry Aij [B] above is the matrix [B] multiplied by the single entry in row i, column j, of matrix A. ⎡ ⎤ Aij B11 Aij B12 . . Aij B1q ⎢Aij B21 Aij B22 .

### An Introduction to Quantum Computing by Phillip Kaye, Raymond Laflamme, Michele Mosca

by Daniel

4.3