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Quantum information - Quiz
Contributed by: Rashid
  • 1. What is the primary study of quantum mechanics?
A) The storage of classical bits in hardware
B) The evolution of macroscopic classical systems
C) The mathematical proof of the uncertainty principle
D) How microscopic physical systems change dynamically
  • 2. How are quantum systems in quantum information theory typically treated?
A) As exclusively infinite-dimensional systems
B) Abstracted away from real-world counterparts
C) As identical to classical bit storage units
D) Solely as simulations of harmonic oscillators
  • 3. Which mathematical tool describes qubits regardless of their physical implementation?
A) Density matrices over complex numbers
B) Harmonic oscillator equations
C) Classical binary string logic
D) Probability distribution vectors of length n
  • 4. What is a physical example of a qubit in a linear optical quantum computer?
A) An electron spin
B) A large collection of atoms
C) A trapped ion
D) A photon
  • 5. What is a physical example of a qubit in a superconducting quantum computer?
A) A large collection of atoms
B) A single photon
C) A solitary ion
D) A harmonic oscillator
  • 6. How does quantum information theory differ from quantum mechanics regarding system dimensions?
A) It rejects the use of complex numbers
B) It concerns both continuous-variable and finite-dimensional systems
C) It ignores continuous-variable systems entirely
D) It only focuses on infinite-dimensional systems
  • 7. What does entropy measure in a physical system?
A) Uncertainty in the state
B) The number of bits used to store data
C) The total energy
D) The momentum of particles
  • 8. Who laid out the concepts of classical information theory?
A) Claude Shannon
B) Albert Einstein
C) Richard Feynman
D) Max Planck
  • 9. What is the requirement for a system to be a capable bit?
A) Having two states
B) Having infinite dimensions
C) Being a photon
D) Being microscopic
  • 10. How is Shannon entropy defined in relation to measurement?
A) Information gained after measurement
B) Energy dissipated during measurement
C) Information lost during measurement
D) Physical work required to perform measurement
  • 11. In the context of Shannon entropy, what is another way to view the measure?
A) Uncertainty prior to measurement
B) Energy of the discrete distribution
C) Total classical bits available
D) Linearity of the system
  • 12. What are the units of Shannon entropy?
A) Kelvin
B) Bits
C) Joules
D) Hertz
  • 13. What base is the logarithm in the Shannon entropy formula?
A) Natural logarithm (e)
B) Base 8
C) Base 10
D) Base 2
  • 14. When are the interpretations of Shannon entropy usually most meaningful?
A) When the entropy is zero
B) When the system is microscopic
C) When the number of samples is large
D) When the system has only one state
  • 15. What does Shannon entropy quantify regarding information sources?
A) The number of bits in a single sample
B) Physical resources required to store output
C) The temperature of the source
D) The speed of data transmission
  • 16. Which decade saw the development of techniques for manipulating single-atom quantum states?
A) 1990s
B) 1960s
C) 1970s
D) 1980s
  • 17. What caused researchers to consider quantum computing in the context of electronics?
A) Quantum effects causing interference as transistors got smaller
B) The discovery of the Deutsch-Jozsa algorithm
C) The need to disprove relativity
D) The invention of the scanning tunneling microscope
  • 18. What is the basic unit of quantum information?
A) Bit
B) Quark
C) Byte
D) Qubit
  • 19. What is the standard measure used for quantum information?
A) Von Neumann entropy
B) Planck's constant
C) Boltzmann constant
D) Shannon entropy
  • 20. Which of the following fields is mentioned as being involved in quantum information science?
A) Cryptography
B) Botany
C) Astronomy
D) Geology
  • 21. Which century saw the transition from classical physics to quantum physics?
A) 18th century
B) 20th century
C) 19th century
D) 21st century
  • 22. What was the name of the phenomenon where classical physics predicted electrons would spiral into the nucleus?
A) Ultraviolet catastrophe
B) Wave-particle duality
C) Quantum tunneling
D) Photoelectric effect
  • 23. Which scientist formulated quantum mechanics using wave mechanics?
A) Werner Heisenberg
B) Carl Helstrom
C) Erwin Schrödinger
D) John von Neumann
  • 24. Which scientist formulated quantum mechanics using matrix mechanics?
A) Erwin Schrödinger
B) Alexander Holevo
C) Werner Heisenberg
D) Ruslan Stratonovich
  • 25. In which decade did Ruslan Stratonovich, Carl Helstrom, and Gordon propose a formulation of optical communications using quantum mechanics?
A) 1950s
B) 1970s
C) 1980s
D) 1960s
  • 26. Who obtained an upper bound of communication speed for classical messages via a quantum channel?
A) Carl Helstrom
B) Ruslan Stratonovich
C) Von Neumann
D) Alexander Holevo
  • 27. What did scientists initially do to address the absurdities of classical physics before quantum mechanics?
A) Added ad hoc hypotheses
B) Ignored physics entirely
C) Discarded the nucleus model
D) Adopted string theory
  • 28. Who created the analogue to Shannon's noiseless coding theorem for qubits in 1995?
A) Ben Schumacher
B) Leonard Susskind
C) Max Planck
D) Claude Shannon
  • 29. What geometric representation is used to describe the state of a qubit?
A) Density matrix
B) Hilbert space
C) Bloch sphere
D) Shannon circle
  • 30. Which theorem prevents an arbitrary qubit from being copied?
A) No-cloning theorem
B) No-broadcast theorem
C) No-teleportation theorem
D) No-hiding theorem
  • 31. Which theorem states that a qubit cannot be fully converted into classical bits?
A) No-cloning theorem
B) No-teleportation theorem
C) No-deleting theorem
D) No-hiding theorem
  • 32. What concept is cited as the basis for the five theorems of quantum information limits?
A) Digital states
B) Entropy
C) Unitarity
D) Classical bits
  • 33. Which theorem prevents an arbitrary qubit from being deleted?
A) No-hiding theorem
B) No-cloning theorem
C) No-deleting theorem
D) No-teleportation theorem
  • 34. Which theorem prevents an arbitrary qubit from being delivered to multiple recipients?
A) No-cloning theorem
B) No-broadcast theorem
C) No-teleportation theorem
D) No-hiding theorem
  • 35. Which theorem demonstrates the conservation of quantum information?
A) No-deleting theorem
B) No-hiding theorem
C) No-cloning theorem
D) No-broadcast theorem
  • 36. How are classical digital states classified compared to qubits?
A) Probabilistic
B) Unitary
C) Discrete
D) Continuous
  • 37. How are quantum gates described mathematically in relation to the Bloch sphere?
A) Projections
B) Rotations
C) Reflections
D) Translations
  • 38. What type of operators are quantum gates?
A) Unitary
B) Non-linear
C) Hermitian
D) Stochastic
  • 39. What complexity class represents problems efficiently solvable by a quantum computer?
A) P
B) NP
C) PSPACE
D) BQP
  • 40. Which algorithm is famous for factoring numbers in polynomial time?
A) Grover's algorithm
B) Shor's algorithm
C) Simon's algorithm
D) Deutsch-Jozsa algorithm
  • 41. What is the speed-up provided by Grover's search algorithm compared to classical algorithms?
A) Quadratic
B) Linear
C) Exponential
D) Constant
  • 42. In what unit is quantum channel capacity measured?
A) Qubits per second
B) Baud rate
C) Hertz
D) Bits per second
  • 43. Which limit of Rényi entropy corresponds to the Shannon entropy?
A) r approaches 0
B) r approaches 1
C) r approaches infinity
D) r approaches 2
  • 44. Which limit of Rényi entropy corresponds to the Hartley entropy?
A) r approaches infinity
B) r approaches 1
C) r approaches 0.5
D) r approaches 0
  • 45. Which limit of Rényi entropy corresponds to the min-entropy?
A) r approaches 1
B) r approaches 0
C) r approaches infinity
D) r approaches 2
  • 46. What is the formula for Von Neumann entropy involving the trace?
A) tr(rho log2 rho)
B) -tr(rho log2 rho)
C) -log2(tr(rho))
D) tr(log2 rho)
  • 47. In what year was the BB84 scheme developed?
A) 1994
B) 1981
C) 1984
D) 1991
  • 48. How many polarization states does BB84 require?
A) Eight
B) Four
C) Three
D) Two
  • 49. In B92, what happens if Bob chooses the wrong basis to measure?
A) He gets the correct bit
B) He gets the opposite bit
C) He gets a random bit
D) He will not measure anything
  • 50. Who developed the E91 protocol?
A) Gilles Brassard
B) Charles Bennett
C) Artur Ekert
D) Alice
  • 51. What causes quantum decoherence?
A) Use of ancilla qubits
B) Perfect isolation of the system
C) Interaction with the environment
D) Measurement of a single 0 or 1 state
  • 52. What is required for a quantum system to maintain coherence perfectly?
A) Quantum error correction
B) Perfect isolation
C) Constant measurement
D) Interaction with the environment
  • 53. In classical mechanics, what is quantum decoherence compared to?
A) Fault-tolerant computation
B) The formulation of error codes
C) The bit model
D) Energy loss by friction
  • 54. Who first discovered the method of formulating a quantum error correcting code?
A) Peter Shor
B) Richard Feynman
C) Albert Einstein
D) No specific researcher
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