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